From an alternate history I considered writing
American Conservative Union Party:A party from the pre-war era it was the party of government through the war. It heavily stressed a socially libertarian rightest view of politik. Outlawing abortion under the Ronald Reagan/Rev. Martin Luther King administration. Where it shows it's libertarian flair is in the states handling drug and marriage laws. Other famous figures in the party include Current President Ron Paul(ACU-PA) Congressmen Mike Pence(ACU-IN), Chris Daughtry(ACU-NC), Jack Kemp (ACU-NY) the Party of Jefferson, Madison, Coolidge, JFK, and Reagan Also the party of Evangelical, Pentacostal, and other conservative Christian sects as well as many minorities.
Libertarian Party:Also a pre-war party but has seen massive growth since the war. More socially liberal but very conservative regarding economic and foreign policy. Figures include Senator Gary Johnson (L-NM), Brian Schwicker (L-MT)
Republican Party:Blamed for the cause of the Liberty War it has shrunk considerably but still has considerable clout. Many Northeastern rightists still keep to the party of Lincolin. Most High Church Christians and Mormans tend with their moderate stances.Figures include Willard "Mitt Romney (R-MA), Richard Lugar (R-IN), Hillary Clinton (R-IL)
Progressive Party:The standard bearer of the center-left. After the Democrats dissolved in 1985 the Progressives have been trying to court the Republicans to merge with them and leave the right. They are trying to get abortion and gay marriage legalized throughout the country though with little success. Figures include Nancy Pelosi (P-CA), Rudy Guliani (P-NY), Michael Bloomburg (P-NY). The party of FDR and LBJ
Democratic Socialist Party:Further to the Left of the Progressives you have this party. The youngest of the major parties include many (around 25 percent of minorities) that believe in Socialism and liberal social policies. Bernie Sanders, Barney Frank, and Andre Carson lead this new wave of the radical left. The Occupy Movemnet leans heavily in their direction.
If abortion wasn't legal,
Democratic Socialist Party Vanguard Party would be the largest.