Patriots because they're from the more liberal area.
and yet Falcons fans are probably more liberal.
No, I would bet Falcons fans easily went for Trump. Even the area of Falcons fandom likely was Trump, and you have to remember that sports fans- and especially football fans- are far more conservative than the population as a whole due to being mostly male and the fact that most hippies, hipsters, SJWs, and the like abhor sports and prefer theater or whatever. In fact, I would bet that the fanbases of all 32 NFL teams, or at least very close to it, voted for Trump.
Exactly, except for the fact that the Atlanta Falcons have one of the most racially diverse fanbases in the entire NFL (important fact to leave out) while whites in the state are disproportionately drawn to the Dawgs* and while the Patriots draw white bandwagoners across upper class Americans in many geographic locations.
*The implication is not due to college attendance but rural culture making a number of fans care significantly less and are simply jumping on the state bandwagon after not caring for many months. Those fans do not count.