An i5 750 using a GTX 460 is a highly competent 1920 gamer, at an entry price of around $850 without an OS. A second 460 adds ~$250 for the card and a larger psu. An i7 930 will add another $200 to the configuration, and arguably increase performance by 10%. Most folks gaming at 1920 don't see the point of that last increment, but its within your price range.
An outstanding case may add $100 to the configuration. A 120GB SSD is nice for load times and avoiding hitching in games, but it doesn't contribute to FPS.
You could start with a single 460 configuration, but make sure you can add a second using this configuration:
1 Intel Core i5-750 Lynnfield 2.66GHz LGA 1156 95W Quad-Core Processor BX80605I5750 $194.99
1 GIGABYTE GA-P55-USB3 LGA 1156 Intel P55 USB 3.0 ATX Intel Motherboard
Item #: N82E16813128425 $119.99
1 G.SKILL NS 4GB (2 x 2GB) 240-Pin DDR3 SDRAM DDR3 1333 (PC3 10666) Desktop Memory Model F3-10666CL9D-4GBNS $69.99
1 Antec EarthWatts EA750 750W Continuous Power ATX12V Ver.2.2 / EPS12V version 2.91 SLI Certified CrossFire Ready 80 PLUS Certified Active PFC "compatible with Core i7/Core i5" Power Supply $99.99
1 Sony Optiarc CD/DVD Burner Black SATA Model AD-7260S-0B
Item #: N82E16827118039 $19.99
1 ZOTAC ZT-40402-10P GeForce GTX 460 (Fermi) 1GB 256-bit GDDR5 PCI Express 2.0 x16 HDCP Ready SLI Support Video Card $219.99 $20.00 Mail-in Rebate
1 SAMSUNG Spinpoint F3 HD103SJ 1TB 7200 RPM SATA 3.0Gb/s 3.5" Internal Hard Drive -Bare Drive
1 COOLER MASTER HAF 912 RC-912-KKN1 Black SECC/ ABS Plastic ATX Mid Tower Computer Case $59.99
you could go for 5850s or 5770s if you like as well, and you could swap the memory, HDD or heatsink for something you may like better as well. Again, these are just suggestions given your budget. Something else you might look into is a SSD, I'd suggest a 80GB min.
Something like this would be able to last you a long time.
well if you can buy from microcenter theres no point in getting an i5 750 for $195, as for $199 you can get a i7 930 at microcenter, best x58 motherboard price vs performance in my opinion is the gigabyte x58 ud3r, as for the ssd i would buy it later as an upgrade when ssds become more mainstream and are cheaper, i would focus the money on a monster video card, maybe get a gtx 480 and a little bit later get a 2nd one, as for the psu, you could get a decent 850 watt, a corsair 1 should do fine, a samsung spinpoint f3 hdd, and a decent case haf 932 antec 1200 and so on