What kind of bicycling/commuting experience do you have? Have you done the commute before by bike at all? Are you used to riding 30 miles a day?
I ask because, while it's certainly doable, it's quite badass, and would probably put you in the 90th percentile of all bike commuters in terms of distance. It's a minimum of 2 hours of riding each day, and a lot of people have trouble finding the time and energy to do that day after day.
In the winter, cold is actually not too much of an issue, and can even be less of an issue on longer rides like that, because you actually feel the coldest at the beginning of a ride, before your body heats up and gets the blood flowing. But snow and ice can certainly slow you down or even make things impassable (particularly on a bike path that might not get plowed). You'd also need lights that can work for at least 90 minutes on a charge, which thankfully isn't that hard these days.
I guess I'm saying that it sounds like an awesome goal, but don't ditch the car until you've gone half a year without needing to drive instead, unless you find other alternatives for those days when you can't/won't ride.