SuperBird
Your biggest enemy in snow will be your right foot. Remember even four wheel drives only have four wheel brakes!
At 330 foot lbs of torque the engine will break the rear loose easy. Manual trans would help but you have an SRT, so auto only.
Snow tires will be a must in anything over a couple of inches. If you get a lot of snow you might as well buy a set, on their own wheels. Especially if you are using the car as a daily driver.
And put some weight in the trunk. 50 lbs would help.
roadster with a stick
Added later
For the record, My Xfire drives just fine in the snow.