Should I have folded AA pre flop? Is this ever right?

[BCeagle]

Very 1st hand of a 45 player SnG on PokerStars.
Blinds are 10/20 and I am in the BB w/ AA.
The action folds to the button who raises to 100. (my 1st impression was he was trying to steal the blinds.)
The SB calls.
I raise to 200.
The button then raises to 1000, and the SB pushes all in.
Without thinking I push all in, feeling euphoric. I figure even if someone has QQ and KK I am still about 70% to win. It will cost me another $1300 for a pot that will probably have $3000, since I figure the button will go all in too.

In hindsight, I figure I am getting good odds with the chance to triple up early at the risk of getting knocked out real quick and losing any chance, I am a solid player that is usually in the money. I was counting on the usual loose players early on.

Anyone think this is too much gambling, with a lot of poker to play.