Will this computer run Dolphin at 1080p and some questions about a new GPU

[fizban]

4770k at 4.2ghz
GPU - GTX 260 216c (yes I know it sucks with this cpu, but am buying the video card next).
8 GB 1600cl9

I have the GTX card OC to around gtx 280 speeds. Also will probably be buying a video card in the next few months. The 4770k was 199 and I got it with a MB for 260 at microcenter, just couldn't pass it up. The e8400 was showing it's age.

I see that the emulator is very CPU intensive, but will that old card run at 1080p? If not would the 7870 be a good buy? Is there a big difference between nvidia and ATI in the emu?

Thanks in advance.