Rich people are not causing it to happen. The wealthy can take care of themselves (and can't opt out of these mandatory government payments, even if they wanted).
Concentration of wealth is a separate issue. Not as disastrous to the economy as much as it is an issue of social divisiveness.
Modifications must be made. If their not, they we will be dealing with those "not nice" starving and hopeless people.
I can only tell you that I have not, at any time, expected to receive anything from SS or Medicare. I have expected it to collapse and have made all my retirement plans accordingly.