I'm using that card with Wildfire on a Win2K box and I have had no problems. In fact, I also use Unigraphics and it's ok, too. I'm running my resolution at a very high 1600 x 1200 and I get no ghosting or any kind of shading problems.
I'm having the same problem as well running a similar configuration. It appears that the little pieces that are droping out are generally small rounds. Nothing seems to help. I suspect it is a driver issue for the graphics card.
I've had this same problem (with a different hardware configuration than yours). Try to save the model and then redraw the screen. Doing this seems to fix my shading problem temporarily, until I start adding more features. Then it will start doing it again. I'm running an ATI 64 meg card Anyone have any ideas why this happens?