Some of those battery storage systems are more than capable of running the house and charging the car. I talked to a guy a few years ago who had a Model S with the 85kwh battery. He installed solar and a large battery bank. He powered the whole house, charged the Tesla, and his wife’s Leaf, and still had enough left over that got dumped back to the grid for which he got a small payment from the energy company.
The initial costs, I imagine, were ruinous, but then if you can afford a 6-figure car the definition of “expensive” changes a bit.