While you're at it, require any schoolteacher who is also a parent to enroll their child in the local public school system.
I agree with you on that, but take it a step further. The children of ALL public school employees, from the school board on down should be in the system, not just the children of the teachers.
There are no private schools (other than homeschoolers) in the county where I live and so the vast majority of the children of those employed by the district are in the district schools. It does make a difference.