It’s weird that where it really matters, on long haul travel things are everything but intimate and personalised. Why should we then stick in coach class planes and slow trains?
You could still have taxis for social differentiation, limo services, just not everyone in their wasteful of a car. I believe clockwork public transit with perfect coverage of a city is far better individually and collectively, alas we never had one to try out so far☺
Electric cars could solve some issues if they are self driving AND shared. However the sharing economy is far from clear on how it would work.
Regarding bikes, everyone would definitely like biking helluva lot more in a car free city. Amirite?