Since my 2002 pontiac sunfire is my only vehicle i am forced to drive it year around. i live in Connecticut so i see lots of snow. i keep good tires on my car, always maintain it as much as possible. and wash it weekly. i have never had any problems whatsoever in the snow. With good tires, traction control(although all j-bodies dont have it), weekly washings, and some practice driving in the snow, you shouldnt have any problems either!
Have Fun!