I've driven over Rogers Pass in winter 3 times - once just after Christmas and twice in February. No problems. I've also done the Icefields Parkway from Jasper to Lake Louise in winter twice. Beautiful but got a little tricky towards the southern end the second time due to the amount of snow. I believe that when they close Rogers Pass due to avalanche danger, it's re-opened quickly as they use devices to trigger the avalanche before too much snow accumulates. An alternative route from Kamloops to Jasper and onwards is also a great drive - it was snowing hard for part of the way when I did it but overall the conditions weren't too bad. The southern route over Crowsnest Pass isn't as spectacular as either of the others though.
from a Brit wishing he lived in Canada