I've wondered about this, myself, and will be testing it out soon.
Before I started mining, I bought a GTX670 because of it's gaming performance and efficiency at the time. I have purchased some ATI cards to do mining, and will attempt to toss one in this box. My reasoning- when using the PC, it's hard to watch any video when mining. If I can opt to not mine on the Nvidia card (which would be driving my display) while mining on the ATI cards, that would seem to be a good compromise. Once my card arrives, I will update this thread unless someone else can post their own experiences first.
Yes, this works.