How can you enforce fair capitalism?

- By letting big businesses fail

- By letting stock prices fall for stagnation and mistakes

- By not making regulations such as the one posted, allowing competition to thrive

- By putting in penalties on executives who presided over fraud, environment damage and harm

- By banning lobbying completely

It seems to me that the last two points require close government involvement, and that capitalism plus government involvement will inevitably lead to some kind of crony capitalism.

Yes. Government is required but needs to be not influenced by money, by law. Taking money in any form needs to be an arrest-able offense.

Do you really really really think that a bunch of billionaires will self correct themselves?

No, I think the opposite of this: that whenever you have individual people as powerful as billionaires, you have crony capitalism.