Agree with this & I'd broaden it: as income inequality increases, the affluent class increasingly strains to free itself of public services. Those services suffer & the flywheel accelerates.
Only way to stop is to say, for certain things, no: you have to use the same shit as us.
An edcuation policy soloution that would get you killed by angry parents but also fix like 60% of problems after a couple of generations is children being randomly assigned a public school within ten miles of their house. That is the school you attend and you cannot transfer.