Its been done. Its called a funded welfare state.
> Show me a school model that's succeeding with the most at risk subdemographic within disadvantaged communities and then I'll be impressed.
Absolutely right, because it takes much more thatn just a good school to eradicate poverty. If you really need to help children, you need to start by helping their parents: national healthcare and decent well paying jobs.
Parents will have time to dedicate to their children if they are not busy and drained struggling to keep their head above water.