That is why you have park & ride concepts and trains. In many european cities you have places just outside the city where you can park your car or hop of and take your bike and take the last mile by bike or public transport.

Having all your commuters drive their car into the city is not at all a good idea. I lived for years at one heavy intersection in one of Germanys biggest cities and I can tell you, if you watch the traffic for half an hour you will see maybe one or two cars with more than one person in them.

I moved from their because the dust and the noise were having a huge impact on my health.

I don't think it is about banning cars from city centers totally. It is about finding acceptable solutions that work without forcing people. Encourage them. Have a working public transport system. Make it cheap. Make it so cheap that driving a car will cost you. Include all problems cars cause in a urban space in some kind of toll or tax.