American cities, almost all were also built before the car. At least the city centers. Both US and European cities grew after WW2.
The US just radically and systematically destroyed its own cities, Europe did its fair share of that, but simply not as bad. I think what saved Europe is that they were behind the US in investment, and when they finally wanted to adopt those US polices, people had already figured out how shit it was, and in many cities the worst urban highways were prevented.
In the US, very few cities survived and very few highways were stopped.
European cities are do not have more evolvability, in fact, large US roads actually means you have more op. Its more a matter of the US refusing to evolve. Its political far more then an aspect of the build environment.