I'd say it's the tires too. When I had my 18" Bridgestone dueler originals on, I remember quite vividly how easily the wheels can peel out, fishtail, and spin donuts in the snow. And it wasn't even that much snow either. It's a good way to practice your recovery turns when fishtailing in an empty lot. Best solution is to replace them with better equipped tires or use chains.

You can still safely drive with the duelers in snow. Just don't mash on the gas pedal from a stop and allow a greater distance while coming to a stop. Hope this helps.