2,200 miles is really no big deal for a car. If the tires are good and the car is maintained up to date, it should be good to go. Bringing a car into CA is always a risk. CA has the most stringent smog testing and some cars from other states don’t pass.
If your car doesn’t pass the CA smog tests you’ll be stuck with either an expensive repair bill, or an unsaleable car. I’d consider selling the car because of the potential smog issues, not the cross country trip.