That idea works if the center of the city has a very intensive public transit system—for example, Tokyo with its very extensive commuter rail and subway system. Problem is, American cities are a lot more “spread out” and that makes the idea not very practical.
But many city and national politicians absolutely love the Europeon way of doing things and do their best to institute the Europeonization of America daily.
Evaluation of Lane Reduction “Road Diet” Measures on Crashes
http://www.fhwa.dot.gov/publications/research/safety/10053/
If cars were banned cities would become much less spread out as local demand for services would draw businesses closer.
Of course powerful zoning boards would make that illegal.
“That idea works if the center of the city has a very intensive public transit system”
That only works if it is free from unassimilated bandits. In US cities you are only safe if you use a “convoy system”, where bands of people that are homogeneous afford each other a measure of safety.