Are you from Seattle? This is the argument that has been used to hold our city hostage to dated 1950s zoning. When parking becomes too much of a hassle, people will find alternatives to multi-car households. Denser populations mean it is more cost-effective to increase public transit options. Autonomous cars are coming, piloted by the car service companies. And why should everyone have to go to an office at exactly the same hours 5 days a week?
When we travel to VAncouver BC we often stay in the Mount Pleasant neighborhood, which is indeed very pleasant. It has great bike lanes, excellent public transit, and limited parking, but people manage just fine. Many of the houses are multi-unit -- some of them older but a lot of newer construction built in similar styles. There is a vibrant commercial corridor on Main Street with tons of great restaurants, local shops (relatively few chains), etc. I could totally see living there without a car. People who resist these kinds of zoning changes really should get out of theirs and walk around in a less car oriented neighborhood before they write them off.
I mean, I bet there were people saying "but where will we keep the horses!?!?!" 100 years ago as many of our North American cities were growing rapidly. The automobile has called the shots for more than its fair share of our history.