Wow, I haven't seen this much debate without the words "liberal" or "conservative" in some time.
I'm late to this thread but a few thoughts:
1) A flop min raise at 6max = monster sometimes, overaggressive player other times. A turn min raise at 6max = monster about 99% of the time. So calling the turn to see the river if you have AA is not a good play IMHO. Calling a flop min raise, okay maybe.
2) Does Mr. AA get stacked if he has JJ? Probably not. AA is just a pair. It's not magical. If you bet the flop and get called with AA, you should check just about any turn. If you bet the turn, you're going to be playing for 1/2 your stack (or more) with just an overpair or you force hands that were way behind to fold. That's a bad risk/reward.
T