Push on the turn??

[nsj]

I feel like I already know the answer....

2-table SNG, 6 left.
Blinds are 100/200.
I'm in the SB with ~T3800, which puts me in either second or third.
Chip leader on the button with about T7000.

I'm in the SB with 4[img]/images/graemlins/diamond.gif[/img] 6[img]/images/graemlins/diamond.gif[/img], folded to chip leader on the button who calls, I complete, and the BB checks.

Flop is 653 rainbow. I bet 200, the BB folds. Button raises to 400, I min-raise again to 600, he calls.

1800 in the pot now, I have about 2100 left.

Turn is 7, completing the rainbow and giving me my straight. Do you push here, 2100 into an 1800 pot?

Button's play has been pretty tight, and I took the re-raise and call of the 3-bet to mean overcards or a weak ace that hit on the flop. Only 89 beats me here, and I'm not feeling it.

What do you do and why, or is this as obvious a push as I think it to be?