Wealth inequality isn't the problem IMO. Regulation, housing codes, zoning, and taxes are why housing is expensive. Let me build a yurt as primary residence on a 30x30ft dirt plot if I like; it would suit my family fine and get the job of housing done for under $50k yet in most cities this would be near impossible.

Even in city, land isn't that expensive outside the coasts. It's building up to code, while being restricted into what your zoning locks in, while maintaining all the permits and paying year after year of property tax.