That requires walkable cities

Society without private vehicle ownership is a pipe dream and in my opinion not even worth striving for. The way to solve issues like this is not to go from one extreme to another. There's a ton of people who reluctantly own cars because it's the only feasible way of getting around because the alternatives are too inconvenient or dangerous. Make it easier for these people to live without a car and they gladly will. This includes a huge portion of people living in cities which is where most people live anyway. If you try to solve the issue by blanket banning private car ownership you just now made life much harder for a ton of people. The issue is not owning cars. It's building our infrastructure in a way that you have to own one. If one lives on the country side far away from everything then it makes much more sense to let them get around by car instead of building a public transport infrastructure there that will only have a few people using it.