Use the nuclear battery to charge a secondary lithium battery, and that is the battery that the car actually uses to drive.
Considering cars are typically used for <10% of the day, the battery's static output wattage only needs to be about 1/10 of a car's operational wattage.
Basically when you get home and park your car, it just starts charging on its own from its nuclear battery. Optimize the nuclear battery size to minimize excess. If that battery gets full, release the excess as heat to the ground or sky, and also use some of it to maintain the lithium battery at optimal temperature. It will be only 1/10 of the driving wattage, so it will be much easier to do something with it.
Or plug in the car when you get home and it can power a good fraction of your home.
