Actually in most European cities, it's the rich people without cars. Google "bakfietsmoeder", a phenomenon where cargo bikes popping up is a harbinger of gentrification.
The current party in the Netherlands ran on a promise to remove 10,000 parking spaces from Amsterdam. It's what people wanted, because they figured out cars are a menace. American cities will figure it out too, but only after exhausting all other possibilities and going broke.
Paris in particular, having a car is not a privilege for the rich. It's now a signal that you must be poor and live in the outskirts with all the immigrants and can't afford a place in the city. The mayor Ann Hidalgo is doubling down on this by continuing to ban cars from more places, and most of the opposition to it is people saying it's not equitable against those who are so poor they need to drive.
Personally I'm generally a fan of reducing or banning cars from city centers. There used to be a multilane highway running under the Eiffel tower, and multilane highways on each side of the river. I can't imagine the noise and chaos and pollution, and all for what. I don't know anyone who wants to go back to that. But there's probably a balance where you can depriorotize cars too much, and maybe Paris will find it. Meanwhile in the US we can spend tens of billions on highways that we can't and never plan to maintain, but can't seem to build literally anything else.