Grand total: $1656.90 Price includes the case you already posted. With shipping you would be right around $1700.
This gives you a Quad-SLI board and 850w PSU, so you could slap another GTX 680 in there if you so desired and could max every game out there. The i5-3570 is probably the best gaming CPU out there right now and the K version means that the multiplier is unlocked so you could overclock it if you wanted to do that. Granted, this setup is really close to your max budget but it's guaranteed to be able to run everything out there right now and probably for the next couple years at 60FPS+ with all the eye candy turned on.
Also, I know that not a lot of people have heard of Seasonic and only having a Bronze certification might make you think I picked some random PSU - but you would be wrong. Do some research about Seasonic units and you'll see why I picked that one. -- I'll be stretching out the rhyme like gravity stretches time.