KK on the button question

[1Winston]

Should I have played this differently?
$15 Party NL multi-tourny. 1600 players to start, 500 left.
blinds are 75/150. No reads on the table yet, only my second or third hand since being moved.
UTG+1 raises to 450
mp+2 calls 450

I'm sitting on the button with KK and only 1175 in chips.
I've been card dead and need some chips to work with. I decide I can either call and hope the flop is low, or push.

Since I am relatively short stacked, I decide to push and hope to get in a heads up race. UTG+1 pushes too, for about 2600 total....sweet, here is my heads up race. MP+2 calls the push and is all in too, with about 2100 total chips. Okay, maybe I can triple up.

I don't think table cards are important to divulge in this situation, just wondering if this is the smart play? or should I have just called? or something else?
I'm relatively new to posting here, Is this enough information for an analysis?
Thanks all