We're all going to learn some surprising things about "how property works" if cartoon villains such as you are permitted to ratchet up the homelessness rate towards 100% for much longer. In practice, though, responsible adults will step in long before that. California is already stripping local property owners of their anti-neighbor tools.

If we want to regulate population growth, fine. But we will have to start rationing birth the way we ration condos if it's really so important to us to avoid the scourge of homes.

EDIT: supporting property rights would be supporting the rights of property owners to build on their land. What you're really talking about here is the political power over others that's embedded in property rights. This power is ultimately delegated to property owners by states, and the correct response (and what we're starting to see in CA) is the state seizing that power away from property owners and granting it to the population at large.