There’s some reading between the lines you need to do with that paragraph. When desegregation occurred, many racists put their children into private schools, especially “christian” schools, which could be whites-only. Eventually, many years after Brown vs. the BOE (e.g., in 2000 for Bob Jones university), these whites-only schools started getting backlash for their policies, and desegregated. These people want to get back to that system.
There’s some reading between the lines you need to do with that paragraph. When desegregation occurred, many racists put their children into private schools, especially “christian” schools, which could be whites-only. Eventually, many years after Brown vs. the BOE (e.g., in 2000 for Bob Jones university), these whites-only schools started getting backlash for their policies, and desegregated. These people want to get back to that system.
Having taxpayer funds go to private, religious schools, taking money that should go to public schools, is legal. They can’t (yet) go to whites only schools, but they can absolutely prefer “children of alumni” or some other characteristic that isn’t race, but a strong proxy for it.