You should see how the Finnish treat their babies. Things like frostbite and frostnip don't happen in the few seconds it takes to get from a car to a door. Yes, with small children, those 10 or 20 seconds might turn into 60, but they will be fine.

A low temperature in Alaska will affect you MUCH differently than low temperatures in say, BC which is much more humid and cuts into my bones at -1 where in Alaska/Yukon I've handled -34 and I'm mostly struggling to breath.

As long as it's a quick jaunt into a heated facility, it should be fine with some moderate layers.