ohyouknow :
They will work fine. "Bottleneck" sure. Significant? No. Overclock as desired but really and truly don't worry about it. GTX 770 is a my choice of card right now if you'd be paying the same price as a 7970. If you need the games, 7970 no brainer. If you can pick up the cheap Sapphire 7970, no brainer. Good Luck.
Okay I believe I will be going with the GTX 770 and the AMD FX-6350 Vishera 3.9GHz cpu. That's a good pair right? thank you for your response by the way. One more thing would these computer parts all work good together?
CPU:AMD FX-6350 Vishera 3.9GHz Socket AM3+ 125W Six-Core Desktop Processor FD6350FRHKBOX
Motherboard: Asus M5A97 R2.0 ATX AM3+ Motherboard
Memory: Patriot Signature 8GB (2 x 4GB) DDR3-1600 Memory
Storage: Western Digital WD Black WD1002FAEX 1TB 7200 RPM 64MB Cache SATA 6.0Gb/s 3.5" Internal Hard Drive
Video Card ASUS GTX770-DC2OC-2GD5 GeForce GTX 770 2GB 256-bit GDDR5 PCI Express 3.0 HDCP Ready SLI Support Video Card
Power Supply: Corsair Builder 600W 80 PLUS Bronze Certified ATX12V Power Supply
case: XION XION Gaming Series XON-985-BK Black with BLUE LED Light Steel/ Plastic, Meshed Front Panel design. ATX Mid Tower Computer Case
I can tell you are very knowledgeable with computer and any help is appreciated.