If you have the antialiasing cranked up lower it or turn it off, that should keep you at 60FPS.
Let all other settings maxed.
If you're on the latest catalyst driver I don't think it's a driver issue.
If you're maxing out the antialiasing that setting puts the biggest hit on performance, lower it or turn it off then come back and tell me how performance is.
What do you have antialiasing set at?
Thank you for the video.
Your 280x should be a little faster than the gtx 960, it could be how you have the settings in the catalyst control center.