Should be close. The 7870 is a great video card but you should stretch for the 7870 XT version at a minimum. A 7950 would be even better for around $265'ish.
The CPU is great but with Haswell out now, might as well go with a 4670K unless you can get a really good deal on the 3570K. Haswell is only 10% faster than Ivy Bridge but 10% more performance is still 10% more performance especially considering theyre about the same price.
AMD FX 8350 @ 4.815 - 1.40V CnQ enabled
EVGA GTX 670 FTW @ 1070 (1239 boost)
Asus Sabertooth 990FX rev 1
Corsair Vengeance 1600MHz 8GB
Samsung 840 Evo 250GB SSD
Western Digital Blue 1TB x2
EVGA Supernova G2 750
HP 2509B @ 1920x1080
Corsair Carbide 500R
BlackWidow Ultimate & DeathAdder