I drive my SRT here in Northern Michigan year round. I am on 18 inch Blizzaks.
At work I drive a Crown Vic with Good Year Ultra Grips.
The SRT is head and shoulders better in the snow and ice than the Ford. Here is a link with my setup:
Waiting for the snows... - Dodge Charger Forums
This is obviously a combination of better tires and ESP. I also think that the Ford anti lock system is inferior to the DCX system but without comparing them with the same tires this is just a guess.
The only concern is when the heavy stuff is piled up at the end of drive ways and cross streets. The low clearance is a concern. I am not so much concerned about getting stuck as damaging the facia.