If gaming across 3 monitors, I would shift a lot of the budget towards the graphics card. The HD 7970 Ghz Edition would be ideal, it's a powerful single card and would keep you away from hot/noisy dual card setups.
2x8GB Corsair Vengeance LP 1600Mhz 1.5v C9
ASRock Z77 Extreme4
Sapphire HD 7970 3GB Ghz Edition
Samsung 840 Pro Series 256GB
Samsung Spinpoint F3 1TB
Seasonic G Series 550W
ATX case of choice
Total should be around $1500, I don't really see any reason to spend any more than that to be honest. Maybe a decent CPU cooler or more storage but that's about it. If you go for more storage, I'd just get multiple F3 drives and RAID them up or something. A RAID 1 setup might be cool.
EDIT: These would be really good for monitorshttp://www.newegg.com/Product/Product.aspx?Item=N82E16824005240
Cheap, nice IPS panel so good colours and viewing angles. Also fully adjustable and 5ms response time. Good all rounder.