I'd argue the exact opposite. Reducing local control would mean resources could be employed more effectively.
How is that supposed to work?
Because, currently, you have a bunch of tiny communities who can't effective serve certain populations. If you have a rural area, even where the high school has 500 students, you don't really have enough students for a vigorous IB program or a broad selection of AP classes.
Since most Americans don't live i tiny communities your answer doesn't really answer the question.