Thanks to data selected from Wikipedia (
http://en.wikipedia.org/wiki/Non-Hispanic_whites#Population_by_state_or_territory + the two pages of presidential elections), I've worked out two different rankings of long term changes in all 50 states and D.C.. One is a ranking of the percentage point decline of the non-Hispanic white population in each state between 1990 and 2016 (projecting the 2010-12 change to continue for 4 more years). The other one is the partisan changes in the presidential votes between the 1988 and 2012 elections.
US states' changes of partisan affiliation between 1988 & 2012 [2016 projection if trends continue at same speed]
Vermont: R+3.52% -> D+35.60% => D+39.12% [D+42.1%]
Hawaii: D+9.52% -> D+42.71% => D+33.19% [D+48.2%]
New Hampshire: R+26.16% -> D+5.58% => D+31.74% [D+10.9%]
New Jersey: R+13.64% -> D+17.81% => D+31.45% [D+23.1%]
Delaware: R+12.40% -> D+18.63% => D+31.03% [D+23.8%]
Maryland: R+2.91% -> D+26.08% => D+28.99% [D+30.9%]
Nevada: R+20.94% -> D+6.68% => D+27.62% [D+11.3%]
Maine: R+11.45% -> D+15.29% => D+26.74% [D+19.7%]
California: R+3.57% -> D+23.12% => D+26.69% [D+27.6%]
Virginia: R+20.50% -> D+3.87% => D+24.37% [D+7.9%]
New York: D+4.10% -> D+28.18% => D+24.08% [D+32.2%]
Florida: R+22.36% -> D+0.88% => D+23.24% [D+4.8%]
Connecticut: R+5.10% -> D+17.33% => D+22.43% [D+21.1%]
Illinois: R+2.08% -> D+16.87% => D+18.95% [D+20.0%]
Michigan: R+7.90% -> D+9.50% => D+17.40% [D+12.4%]
Rhode Island: D+11.71% -> D+27.46% => D+15.75% [D+30.1%]
D.C.: D+68.34% -> D+83.63% => D+15.29% [D+86.2%]
Massachusetts: D+7.85% -> D+23.14% => D+15.29% [D+25.7%]
New Mexico: R+4.96% -> D+10.15% => D+15.11% [D+12.7%]
North Carolina: R+16.26% -> R+2.04% => D+14.22% [D+0.33%]
Ohio: R+10.85% -> D+2.98% = D+13.83% [D+5.3%]
South Carolina: R+23.92% -> R+10.47% => D+13.45% [R+8.2%]
Washington: D+1.59% -> D+14.87% => D+13.28% [D+17.1%]
Colorado: R+7.78% -> D+5.37% => D+13.15% [D+7.6%]
Georgia: R+20.25% -> R+7.82% => D+12.43% [R+5.7%]
Arizona: R+21.21% -> R+9.06% => D+12.15% [R+7.0%]
National average: R+7.73% -> D+3.86% => D+11.59% [D+5.79%]Indiana: R+20.16% -> R+10.20% => D+9.96% [R+8.5%]
Alaska: R+23.32% -> R+13.99% => D+9.33% [R+12.4%]
Mississippi: R+20.82% -> R+11.50% => D+9.32% [R+9.9%]
Pennsylvania: R+2.32% -> D+5.39% => D+7.71% [D+6.7%]
Oregon: D+4.67% -> D+12.09% => D+7.42% [D+13.3%]
Wisconsin: D+3.62% -> D+6.94% => D+3.32% [D+7.5%]
Minnesota: D+7.02% -> D+7.69% => D+0.67% [D+7.8%]
Nebraska: R+20.96% -> R+21.78% => R+0.82% [R+21.9%]
Alabama: R+19.30% -> R+22.19% = R+2.89% [R+22.7%]
Texas: R+12.60% -> R+15.78% => R+3.18% [R+16.3%]
Tennessee: R+16.34% -> R+20.40% => R+4.06% [R+21.1%]
Iowa: D+10.22% -> D+5.81% => R+4.41% [D+5.1%]
Missouri: R+3.98% -> R+9.38% => R+5.40% [R+10.3%]
Idaho: R+26.07% -> R+31.91% => R+5.84% [R+32.9%]
North Dakota: R+13.06% -> R+19.63% => R+6.37% [R+20.7%]
Louisiana: R+10.21% -> R+17.21% => R+7.00% [R+18.4%]
Montana: R+5.87% -> R+13.65% => R+7.78% [R+14.9%]
Kansas: R+13.23% -> R+21.72% => R+8.49% [R+23.1%]
Arkansas: R+14.18% -> R+23.69% => R+9.51% [R+25.3%]
Kentucky: R+11.64% -> R+22.69% => R+11.05% [R+24.5%]
South Dakota: R+6.34% -> R+18.02% => R+11.68% [R+20.0%]
Utah: R+34.17% -> R+48.04 => R+13.87% [R+50.4%]
Oklahoma: R+16.65% -> R+33.54% => R+16.89% [R+36.4%]
Wyoming: R+22.52% -> R+40.82% => R+18.30% [R+43.8%]
West Virginia: D+4.74% -> R+26.76% => R+31.50% [R+32.0%]
In other words, Vermont has become 39% more liberal/Democratic over the span of 24 years, while West Virginia has become almost 32% more conservative/Republican over the same number of years. Quite a monumental change! Back in 1988, West Virginia was in fact much more Democratic-leaning than Vermont - today they could hardly be more different! Also notice how gigantic the partisan changes have been in all of the three northeastern most states of Vermont, New Hampshire and Maine. Are these demographic changes likely to continue there or have the Democratic tilt of these three states already peaked? The closest to a good explanation I can find is that these three states also happen to be the three least religious states in the US. Having this in mind, there's a case to be made that they might become even more Democratic-leaning still.
Percentage point change in non-Hispanic white population between 1990-2016Nevada: -28.8% (from 78.7% to 49.9%)
California: -19.8% (from 57.2% to 37.4%)
New Jersey: -18.9% (from 74.0% to 55.1%)
Florida: -18.6% (from 73.2% to 54.6%)
Texas: -18.3% (from 60.6% to 42.3%)
Maryland: -17.6% (from 69.6% to 52.0%)
Washington: -17.5% (from 86.7% to 69.2%)
Delaware: -17.0% (from 79.3% to 62.3%)
Georgia: -16.9% (from 70.1% to 53.2%)
Arizona: -16.6% (from 71.7% to 55.1%)
Connecticut: -16.2% (from 83.8% to 67.6%)
Rhode Island: -15.9% (from 89.3% to 73.4%)
Oklahoma: -15.0% (from 81.0% to 66.0%)
Oregon: -15.0% (from 90.8% to 75.8%)
National average: -14.6% (from 75.6% to 61.0%)Massachusetts: -14.2% (from 87.8% to 73.7%)
Virginia: -13.9% (from 76.0% to 62.1%)
New York: -13.7% (from 69.3% to 55.6%)
Illinois: -13.5% (from 74.8% to 61.3%)
Alaska: -13.1% (from 73.9% to 60.8%)
Minnesota: -13.0% (from 93.7% to 80.7%)
Nebraska: -12.8% (from 92.5% to 79.7%)
Kansas: -12.6% (from 88.4% to 75.8%)
Utah: -12.6% (from 91.2% to 78.6%)
Colorado: -12.5% (from 80.7% to 68.2%)
New Mexico: -12.3% (from 50.4% to 38.1%)
North Carolina: -12.1% (from 75.0% to 62.9%)
Pennsylvania: -10.9% (from 87.7% to 76.8%)
Idaho: -10.0% (from 92.2% to 82.2%)
Indiana: -9.9% (from 89.6% to 79.7%)
Arkansas: -9.5% (from 82.2% to 72.7%)
Wisconsin: -9.5% (from 91.3% to 81.8%)
Iowa: -9.3% (from 95.9% to 86.6%)
South Dakota: -9.2% (from 91.2% to 82.0%)
Wyoming: -9.0% (from 91.0% to 82.0%)
Tennessee: -8.8% (from 82.6% to 73.8%)
Hawaii: -8.4% (from 31.4% to 23.0%)
North Dakota: -7.7% (from 94.2% to 86.3%)
Alabama: -7.5% (from 73.3% to 65.8%)
Ohio: -7.5% (from 87.1% to 79.6%)
Missouri: -7.4% (from 86.9% to 79.5%)
Louisiana: -7.3% (from 65.8% to 58.5%)
Michigan: -7.2% (from 82.3% to 75.1%)
Kentucky: -6.9% (from 91.7% to 84.8%)
Mississippi: -6.6% (from 63.1% to 56.5%)
New Hampshire: -6.5% (from 97.3% to 90.8%)
Montana: -5.8% (from 91.8% to 86.0%)
South Carolina: -5.0% (from 68.5% to 63.5%)
Vermont: -4.7% (from 98.1% to 93.4%)
Maine: -4.5% (from 98.0% to 93.5%)
West Virginia: -3.8% (from 95.8% to 92.0%)
D.C.: +8.9% (from 27.4% to 36.3%)
Nevada really strikes you as being in a league of its own when it comes to recent demographic changes. Although, since 2010, New Jersey has in fact changed at the same speed as Nevada. Besides, Nevada is likely to become minority-majority sometime during 2016.
If you add the two rankings together, you might get an approximation of whether a state is more likely to trend Democratic or rather Republican going ahead. A low number meaning trending Democratic is the more likely option, while a high number means the most likely outcome is a Republican trend:
Looking forward - a summaryNew Jersey: 4 + 3 = 7
Nevada: 7 + 1 = 8
California: 9 + 2 = 11
Maryland: 6 + 6 = 12
Delaware: 5 + 8 = 13
Florida: 12 + 4 = 16
Connecticut: 13 + 11 = 24
Virginia: 10 + 16 = 26
New York: 11 + 17 = 28
Rhode Island: 16 + 12 = 28
Washington: 23 + 7 = 30
Illinois: 14 + 18 = 32
Massachusetts: 18 + 15 = 33
Georgia: 25 + 9 = 34
Arizona: 26 + 10 = 36
Hawaii: 2 + 36 = 38
Texas: 36 + 5 = 41
New Mexico: 19 + 25 = 44
Oregon: 31 + 14 = 45
North Carolina: 20 + 26 = 46
Alaska: 28 + 19 = 47
New Hampshire: 3 + 45 = 48
Colorado: 24 + 24 = 48
Vermont: 1 + 48 = 49
Minnesota: 33 + 20 = 53
Nebraska: 34 + 21 = 55
Indiana: 27 + 29 = 56
Maine: 8 + 49 = 57
Michigan: 15 + 42 = 57
Pennsylvania: 30 + 27 = 57
Ohio: 21 + 39 = 60
Oklahoma: 49 + 13 = 62
Wisconsin: 32 + 31 = 63
Kansas: 44 + 22 = 66
D.C.: 17 + 51 = 68
Idaho: 40 + 28 = 68
South Carolina: 22 + 47 = 69
Iowa: 38 + 32 = 70
Utah: 48 + 23 = 71
Tennessee: 37 + 35 = 72
Mississippi: 29 + 44 = 73
Alabama: 35 + 38 = 73
Arkansas: 45 + 30 = 75
North Dakota: 41 + 37 = 78
Missouri: 39 + 40 = 79
South Dakota: 47 + 33 = 80
Louisiana: 42 + 41 = 83
Wyoming: 50 + 34 = 84
Montana: 43 + 46 = 89
Kentucky: 46 + 43 = 89
West Virginia: 51 + 50 = 101
(A number below 50 suggests a Democratic trend is more likely, a number above 50 suggests a Republican trend is the more likely outcome.)
According to this combined ranking (taking into account both demographic changes as well as already observed partisan changes), West Virginia is by far the state most likely to continue its already strong Republican trend. It is followed next in line by Montana and neighbouring Kentucky. Also strongly likely to trend Republican relative to the national popular vote are Wyoming, Louisiana, Missouri and both of the Dakotas. On the other end of the spectrum we find states highly likely to continue its Democratic trend. New Jersey and Nevada are both close to 100% in its certainty to continue its Democratic trend in presidential elections over the next decade or two. In the second tire behind them, we find California, Maryland, Delaware and Florida - all more than 95% likely to trend Democratic relative to the national popular vote.