short stack, late in tourney

[chopchoi]

My biggest problem area is playing a short stack late in a tourney. It seems like everytime I try to make a move I get called, and bust out. I wonder whether i'd be better off shutting down and hoping to cost into the money.

Here's an example:

Pokerroom $5 MTT. 53 left, top 40 pays. The payout structure is something like 40-21 get $12, 20-11 get $18, and the money increases every spot after that.

I have about 4,500, blinds are 400/800 (no antes). people are going out pretty rapidly, and I figure I can see the money if I can last 2 more rounds of blinds. This shouldn't be a problem if I fold every hand.

Then I get AJo, 3 off the button in an unopened pot. I push.

Is this a bad play? I mean, folding every hand is just so boring, I hate doing it, but I really don't see what's to be gained from it. Ranking doesn't really matter unless I bust out or make the final table. Since I don't have much of a chance of making the final table, wouldn't I be better off playing not to bust out?