Oh, sure it can. Adding a 2kW battery to every car would increase fleet mileage perhaps 20%, and the EV can choose to charge or not, based on dynamic rates. That's electrification. They don't have to be 100% BEV right away. PHEVs also be lighter, faster, and generally better. Think "2024 Formula 1 car," not "2015 Nissan Leaf."US infrastructure as it is cannot sustain a significant electrification of cars.
Why would a cold winter night matter? Are you people heating shacks with toasters up there? Get some ground-source heat pumps and spray-in insulation whenever there's a renovation. The Canadians have been doing it for a decade.The cable is fully loaded on a cold winter night, without charging any Teslas.
Maybe you can unretire and build some nice new nukes before 2050, and then the whole problem goes away.