Your last sentence is where I fear we will end up. The very wealthy would be wise to realise it and work reform themselves.
I disagree that capitalism, at least in the way I understand it, always leads to rich getting richer, poor getting poorer. Many European countries have a happy medium that rewards risk-taking while looking after everyone. While most still slowly get worse on the Gini coefficient it’s based on pretty much the 0.1% pulling away and away, while the rest of their societies actually stays roughly the same. So really they only have the top of the top of the top to deal with, whereas a country like the US has a much larger, all-encompassing inequality.