Most places with high per-capita GDP (Canada, Scandinavia, England, Germany etc) have found that they can make meaningful, consistent, incremental progress on a lot of the problems Krein is trying to address through introducing a public system in sectors like healthcare, education, and child care - probably literally the only tack Krein would never agree to.
The problem isn't "billionaires" or "capitalism." I would probably rather billionaires lock up their money in Vangaurd stock - where its allocation is at least beholden to market forces - than spent it on misguided vanity projects.
The problem is that market failure is a real thing. Every other country on the planet seems to have realized this.