I also pretty solidly root against Florida, but weirdly this has as much to do with my inclination to root for underdogs even more than Georgia/Florida rivalries.
I'm fairly favorably disposed towards Auburn, and oddly, Georgia Tech as long as they aren't playing UGA.
I go for UGA, Tech and any team that plays Florida or Notre Dame.
Hey, I went to a school that won a national basketball championship!! Of course, it was 1974 and the NAIA but hey, what's your school won (okay, most of y'all, lol).