Do you want to live in LA? Because that's how you get LA traffic.
People own cars for convenience. If they have to pay $$$ for garage parking or deal with limited street parking, many of those people will stop owning a car.
Sure, then public transportation sucks... but that's also good! When enough people depend on an inconvenient publicly funded service, that service magically improves after a couple election cycles. Then more people use it, creating support for further improvements, etc.
But that's not all!
More people on the sidewalks creates opportunities for small businesses to bring services closer to where people live (reducing demand without diminishing support for public transportation). Those businesses tend to pay workers better, which enables some to move into the city instead of driving from cheaper areas.
The end result, a decade or two down the line, is a vibrant urban community. A region where the idea of even 10% parking spaces is absurd because friends and family, work and pleasure, everything can be accessed with some walking and public transportation...
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Our car culture is a social addiction. Cars seem convenient in an environment shaped around cars... but if we step back and question the environment, the alternatives are much more attractive.