Actually, winter is by far the most beautiful time in the North. Everything is frozen and extremely peaceful. Also Whitehorse has on average more sunny days per year than anywhere else in Canada, so often in winter it's -30something C and perfectly sunny. Gloves, a toque and a good jacket, and you're good for hours outside.
Winter is also the best time to get around, because all the rivers and lakes are frozen, meaning you can go places where there are no roads (and there are very few roads - I've driven them all). So you quickly get into snowshoeing, cross country skiing, downhill/backcountry skiing/snowboarding, ice fishing, snow mobiling, etc. etc.
The days are short, so you do whichever of those in the dark you have to. Snowshoeing at 4pm in -35C crunchy snow looking at the bright stars/northern lights is a magical thing [1].
Basically, you get outside and do stuff. If you don't like winter, you'll likely leave, which is another amazing thing about the North - everyone that lives there loves it.
