We also have restricted access to the center of the city (the infamous Area C and Area B) even stricter but so far they are not working that well simply because they created them but not added the necessary alternatives (public transportation first and foremost).

Where I lived when I was younger, to be able to have a neighborhood that is not that dependent on cars (back at the time it was not, everything you need was at a 5 minute walk) they basically levelled the neighborhood and rebuild it, and it was relatively new (post WWII), a thing that is not an option in older area (center).

The way of your city (or of Milano) are also appliable only to big cities where everything you need is present, where I currently live I need a car for a number of reasons, because my small town has not all what I can need, for example the only way to go to the train station I use is by car since it is too distant to walk to (or I can choose the other one and hope to use less than 1.5 hours for a 20 minute train travel), and there is not a public transportation system.

Maybe I am naive but I think that people would discard the car (or use it a lot less) if for the day by day they have an alternative, so when I said it would be easier I should have added the missing implicit (for me) part "in the short term".
You want I don't own/use a car in 5 years from now ? Fine, where are the construction sites for the railroads and the other public transportation system I will need to use ? Because I can stop using the car in a month, but you cannot build a railroad in a month.