A 3770K won't bottleneck a dual SLI GTX 680 setup, will it?
The short answer is no. It's the best processor out there for gaming. Even the 3570K i5 won't.
Having said that, at lower resolutions, your CPU is likely to limit frame rates before the GPUs do. This would be true of any CPU. To minimize this effect, and take full advantage of all that graphical power, you should try to use a monitor setup that allows for resolutions greater than 1920x1080.