Then you gotta make it affordable for them.
You can still have elite schools for the absolute best (though I would question that certain self-styled 'elite schools' are really principally selecting for that and not e.g. wealth or family connections), but that doesn't mean that you cannot raise the bar on public and affordable education (including traditional schools and universities but also via other means, e.g. self-teaching via online resources). These are two competing goals and often people only focus on the one to the exclusion of the other, but they are both important.
This hasn’t been true for years, decades even
The only way to pay for a large and generous welfare state is to educate the most capable to the highest level of ability. The tech industry was built by highly ambitious, competitive, risk-taking individuals.
"California collected almost $1 billion in personal income tax revenue from Palo Alto’s 94301 zip code in 2016. That was the most of any zip code in the state, according to a new LA Times analysis, which found that California’s top 1 percent of filers paid nearly 46 percent of income tax for that same year. "
https://www.kqed.org/forum/2010101867426/californias-top-1-p....
Two, you don't label it as fair, and you recognize the disadvantages that exist and start talking about solutions.
I also don't see the problem with students from poor families simply going to community college for a couple years then transferring to a state school. It's far cheaper and the curriculum is largely the same for most undergraduate courses.
The major problem that progressive don't want to recognize is the role of culture and family structure, e.g. lower class Blacks and Whites who view education negatively, and who tend to be raised by single mothers. Asians generally don't have this problem and have the highest SAT scores even when you control for family income.
Move all children to government controlled facilities and do not let them see their parents until they are some age like 21?
Or maybe we should get rid of all criteria for education and just do huge once a year lottery. You get one chance to enter. As poor people can not afford more.