I live in an apartment with no parking. However, some people in my neighborhood like having cars. Fortunately, the solution is simple - they pay for monthly parking at the garage around the corner, and I don't subsidize people's parking in my rent.
I think one thing everyone is missing is that having the freedom to have cars has an economic benefit that is not easily factored in otherwise. Like in this example, if the location makes in more difficult to have cars, then it's likely that the rents here will have to be lower to attract people. Or in the other example where someone was car-less in Chicago's Hyde Park area -- over a period of time he seems to have optimized to reduce going out because it was a chore. Maybe that is a good thing in the long run :-), but it sort of indicates depressed economic benefits for everyone.
Removing minimum parking requirements is reasonable, but it should be done in such a way that developers can't offload their tenant parking to public property, i.e. by also making the surrounding streets no-parking.