That's a problem being solved already in Scandinavian countries. It just takes education and continually improving infrastructure. The more bikers that are on the road, the safer everyone feels riding a bike, which means more bikers on the road :)
Out of curiosity, how is this being solved in Scandinavian countries?
The only thing that article says about snow is to prioritize clearing it on bike routes. That isn't good enough by a long shot. Sorry I'm not riding a bike when it's below freezing and I'm not riding a bike in the snow or the rain. Just forget it.
While the amount of bike traffic definitely goes down during winter, I can't recall a day in Chicago this last year where I didn't see anyone in the bike lanes