The new law permits pedestrians to cross a roadway at any point, including outside of a crosswalk. It also allows for crossing against traffic signals and specifically states that doing so is no longer a violation of the city’s administrative code. But the new law also warns that pedestrians crossing outside of a crosswalk do not have the right of way and that they should yield to other traffic that has the right of way.
At least in North America, around 80% of the population lives in a populated area. That means even if we only eliminate cars for urban areas, that’s still most of the cars removed. The only way I see people in rural areas getting around without a car would be with electric cargo bikes and robust train routes.
Buses would be the short term solution except for the really far out rural areas, during the time in which far out exurbs and suburbs are redesigned for maximum density.