Hmm not sure on this but I am sure that the fridge unit is thermo controlled so it won't be turning on. I know the pop is shielded from the wind by being inside so this reduces perceived temps and the electronics and lighting will produce some heat and it will be trapped inside. However I just don't know if these points are enough to overcome straight -35* weather. In chitown it only got to percieved temps like that with wind chill factored in, so inside these machines it wouldn't be anywhere near that temp.
BTW, move out of the friggin tundra.