So from what I can tell, it would come down to the Non-Divisional Opponents Conference records.
aTm - 4-7 ; UT and USC
auburn - 3-7 ; UGA and Vandy
Bama - 6-5 ; UT and Kentucky
LSU - 4-5 ; UF and Mizzu
So really, auburn is a bit screwed as they still have to play UGA and Vandy, and a win adds to the loss column of each team... aTm has a common opponent in UT, so it would come down to the conference recortd of Kentucky vs USC... Kentucky is 4-2 and USC is 2-4 at the moment, so Kentucky would have to lose out and USC would have to win out to just Tie in conference. LSU still has to play aTm so either aTm or LSU will have two conference losses. If LSU wins, they still have to play UF too and would give them a Non-Divisional Loss and Mizzu just sucks, so I don't really see them moving ahead of us but they would have the best chance.
The way I see it, if it's a 3 way time between aTm and auburn and Bama, I don't see how aTm or auburn would win on the tie breaker; however,
all we really need to do is win out and then it wouldn't matter. Really, the goal is to be in the NC playoff and game, the SEC title is just a stepping stone to that goal