5-10 Live at Bellagio...Tough spot..

[GreatKerblini]

5-10 9-handed live at Bellagio. I have a solid imagine, shown down good hands and have been playing pretty TAG. Villain 1 has been pretty nitty and really hasnt gotten involved with any pots. Villain 2 has been extremely LAG Preflop, has an extreme swagger about him, talks alot, has played very aggressive/solid postflop, and the deck has been hitting him all night.

So on to the hand...

Effective stacks
Hero ($1750)
Villain 1($1700)
Villain 2($4500)

Villain 1 limps from UTG+1.
Two limpers from middle position.
Villain 2 limps from button.
SB completes.
Hero makes it $80 to go with 99.
Villain 1 then re-pops it to $180.
Villain 2 after long thought calls $180 from button.
I call the extra $100.

Flop: 876 rainbow.

I check. Villain 1 now checks(??). Villain 2 now says "you are now giving me a free card to Villain 1, no no no, and fires out a $500 chip".

Play is back to Hero. Im 99% sure Villain 1 has AK here. Is this an easy lay down? What do you think of a push here? With only 1550ish now behind, do I have any fold equity against this guy? Thanks.