I don't root for Georgia Tech football, a) because I loathe football, and b) because I don't care about college sports. I don't even root the school I went to.
As for why I'm not a Hawks fan, my foray into team fandom was as a Kings fan. I wasn't living in Georgia at that time; in fact, had I allowed my fandom to be determined by where I was living at the time, I'd be a Bulls fan (I was in Illinois for high school, during the Bulls' first three-peat), but the Bulls didn't bring it out of me like that, and Jordan was never my "guy." When I stopped being a Kings fan, I didn't jump ship to another team, I just stopped rooting for teams altogether. It never even occurred to me to root for the Hawks; like I said, for who? For what?