A $1000 video editing rig that doesn't have an i7-2600, so much failure. Why in the name of God do you need a $275 video card for video editing.
There's a reason the i7-2600 costs $100 more than the AMD, it obliterates it at everything.
Such a fail build. Wow...
Yea, I'm not super experienced, but in my opinion you are correct. It would be much more beneficial for you to bump down to a lower card like a $6870 (It costs $175, roughly $100 cheaper). After you bump the graphics card down you can upgrade to an i7-2600 which will help a lot in video editing.
PLEASE DON'T START TO HESITATE! I don't want you to see this post and think that now you have to go with an i7, but it is a viable option if you don't plan on needing an insane graphics card.