No way man, a gtx 960 with a super overclock will be fine. You should have no problems. It is a very capable CPU. Just be sure the games you want to play support hyper threaded dual cores.
Example:
Fallout 4 requires an i5, because it needs 4 physical cores.
It will still run on the i3, but you will have to dial a lot of things down, and it could still be a bit buggy.
Good luck.