Originally Posted by Binge
While I find the request of the OP odd I commend you for standing up for your rig. Your 8800GT may need have the resolution down-scaled on a few of the games to accommodate the games which take a lot of power at 1920x1080, but I remember running most of these with few issues on a GTX260 which is a single generation beyond your GFX card.
The TV will upscale 720 pictures just fine. In some instances you would never know the difference.
Do note that OP does not have an 8800GT, rather, he has an 8600GT 512MB. At 1080P, the 8600GT may even struggle with Source games at max setting. Certainly Batman AA and Homefront, and perhaps Ghost Warrior may have to be run at lowest setting to get playable framerate. The CPU isn't doing gaming any favors either, Souce games should be fine though, and certainly older games, like COD, can play played at max or near max setting @1080P.