I live in Sweden, we get some snow from time to time as well. What we do is put winter tires on all cars (it's mandatory in winter conditions and after December 1).
I'm pretty sure getting car seats in and out of cars have improved in the last 24 years. A baby carrier is probably more convenient in the front passenger seat, don't forget to turn off the airbag.
Most people around here just put a trailer behind the car if the stuff doesn't fit in the back with the back seats folded.
I'd also like to point out that of course some people need 4x4 with higher ground clearance. But do the majority need it?