I spent New Years up by mount Snow in Vermont this past weekend and we got somewhere around 15-20" of snow over the weekend. The Stock 20" Dunslops worked just fine and we never got stuck the whole weekend.
My only complaint will be that the stop time is VERY long. I am not sure if more aggressive tires will improve this by much because...well, snow and ice are slippery.
You drive for the conditions not for time.
All in all it was an A+++ weekend for the wife, dogs, snowboarding, mountains, and the X.