I think the view behind the anti-car movement is that there shouldn't be cars. Period. Doesn't matter what income bracket. Gas powered cars create huge amounts of pollution, all cars generate lots of waste and are in general very inefficient modes of transportation.

I believe in the end it advocates for busses and trains (above and below ground)as public transit. I think there's also a belief that infrastructure is supposed to be updated to support this. Busses get their lane, while most of a street is for people moving under their own power, be it walking, cycling or using a wheelchair.