It won't; and states and municipalities control their own schools vastly more so than the Federal Government does.
EDIT: Below is from a website named "encyclopedia." I'm not familiar with it but it follows what I understand; the article is pretty expansive with a lot of links to citations:
The right to a free public education is found in the various state constitutions and not in the federal constitution. Every state has a provision in its constitution, commonly called the "education article," that guarantees some form of free public education, usually through the twelfth grade.
The full article.
Public education is the purview of each individual state, and the states aren't going to get rid of it.
So don't sweat it.