You're missing the point, which is that adding a superlative in front of a concept you don't like doesn't make it more important or the problem more severe. And your reductionist take on wealth distribution isn't even worth discussing.

Build more is the only option to actually fix the problem. The incentives could not be more aligned between home builders and home dwellers. Builders want to build, and there are dozens of them in all major metropolitan areas. Home dwellers want shelter. Sounds like an ideal situation to keep margins low.

More regulation == more regulatory capture, which your kind supposedly doesn't like but you don't seem to be able to help yourself.