Commuting - Would a soft-tail be good for winter commuting?

I am thinking about getting a full-suspension bike for my commute to work. I have never owned or even spent much time on a soft-tail.

The main reason is that now, in winter, I have to go over many snow piles and ice mounds. Sometimes these snow piles are 2 to 3 feet high and are a mix of ice and snow.

With my present Trek "Mountain Trek" with no shock-suspension front or rear, I often get stuck.

I am wondering if a full suspension bike might do better in these conditions. Is there any disadvantage to using a soft-tail for street use?

Can anybody provides some feedback, comments, and suggestions?

First off there is a difference between a softail, and a full suspension rig. Full suspension gives you greater travel in the rear end and in most cases a totally different rear end design. Go to the KHS web site and look at their softails in comparison to the fs bikes. Now as far as the snow piles you can get stuck on a $50 dollar bike and a $3000 dollar bike. Disadvatages to a softail on the street would be the loss of pedal efficency on hills if the rear end is to soft. Most of the time though unless you time yourself or race on the pavement you probably will not notice a whole lot. Unless of course you ride a downhill specific bike. I hope this has helped.