I agree I will call in this situation 98% of the time. Things I disagree with though: Don't decide if you are the type of player who will only push with AA, decide if your opponent is that type of player.
I like your call on the flop, but I would have done it with the intention of pushing in on the turn unless the A flops. Since there are a lot of hands that people will re-raise with, and none of them should have hit that flop, against a player I didn't know, I will always call. Only when a player had shown me he won't risk his chips without the nuts, will I lay that down.
I don't like going all in before the flop, because you can almost always expect a reraiser to bet at the flop regardless of what it is. wait for his bet, then move in your stack.