So the question is if the wealthy can remain wealthy, or if the poor can get houses?
I'm sorry, but... as a Catholic the choice is obvious to me. Blessed are the poor, etc. etc. We should favor those who don't have wealth yet.
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There's other investments, and any such large-scale buildup of houses will take place over a long-enough time period that investors can reallocate wealth appropriately (reverse mortgages and then move the money to the stock market or something). Talk to a financial advisor if you need help moving wealth out of your house and dumping that onto someone else.
Meanwhile, there's no actual solution to the young couple who needs a house for their next baby to raise their family. Get them a damn house. Period.