According to Ford the GT 350's (not the R) overall height is .2 inches lower than a standard Mustang -
http://www.ford.com/cars/mustang/spe...ions/exterior/
If you want to drive one in the snow I would look into what the wheel and tire options are for Winter tires (hopefully 18" wheels, narrower tires), see if others around you are driving standard Mustang's, ask them what they think and then do it. I think if you will find it is common for people in Michigan, IN, and Ohio to drive Mustangs through the winter with All Season tires, which I would not do, but would be a good indication of what it possible.