Not sure how you are going to convince people who live in a blizzardy mountain town to start walking to work en masse. Snowmobiles are popular in the winter at least.
My wife, baby daughter and I lived in Innsbruck and walked or biked to most things. They clear the streets and sidewalks pretty well. It gets a lot of snow - they hosted the winter olympics there twice.
Innsbruck is not a mountain town, it's the biggest city in the Tirol with >100k residents. I have yet to see someone riding a snowmobile through the city