I will drive in 6 inches of new snow but I will not bike, - at least not on the streets.

A front wheel drive vehicle with decent tread on the tires actually does pretty well in snow if you know how to drive in those conditions. The worst that can happen (in really deep snow) is that you'll get stuck. Not convenient but not life threatening as long as you're not in the boonies. Of course you can't control what other drivers are going to do, so there are risks there.

Ice is a different matter. Studded tires help a lot. There not legal on cars here, so I will give the nod to bikes with studded tires for ice covered surfaces.

Cars with high performance tires don't do well in snow. They get squirrelly. Rear wheel drive ain't so great either.