In other words, the rich are eating the middle class. They will buy up all property and normal people will be permanently priced out of the market. They have no reason to sell.

Well it didn’t happen in every case. In the UK socialists became a big faction within the post war labour party and created the NHS. Almost every other country in Europe has a similar story with the creation of their own healthcare systems. Russia and China have never been democracies at any point in their history so maybe that has more to do with it than socialist and communist ideas.