Here in Europe, private ownership of cars could go the way of the Dodo bird and many people would welcome it.
The main differences:
One - our cities are older and streets smaller, the insanity that is hundreds of thousands of people each driving in a huge metal box that is mostly empty becomes visible very fast under such conditions. Parking in most European cities is a nightmare.
Two - we actually have working public transport.
I would be more than happy to use self-driving taxis in the city, and keep my car only for long-distance trips where train is not a good choice for some reason (remote village, castle, animal park, whatever in the countryside, etc.)
Maybe americans love their cars so much - but half of them also liked slavery and anyway it was abolished.