To apply another model that effectively excludes the ignorant parent input, along with those who truly care, is exactly what your friendly, communist central government wishes.
It is my belief, that even dysfunctional parents are capable of choosing a school that best meets their needs and would yield the best results. Private KIPP-like schools would likely be popular with these parents.
What we are doing now with our government schools poorly serves the child from the dysfunctional home, retards the academic and social development of the child in functional homes, trashes the First Amendment and freedom of conscience, creates a mandarin class of government workers, and has turned the American property owner into renters with the tax collector as landlord.
Besides that...Where is the evidence that government schools actually teach anything at all??? It could be that nearly everything a child learns is due to the afterschooling done by the child and the parents. Maybe the only thing a typical government school does is send home a curriculum for the parents and child to follow.