Okay, people, let's just clear up some misconceptions that clearly exist right at the base of people's assumptions.
First of all, the primary responsibility for a child's welfare and upbringing belongs to the child's parents, NOT to the state. This responsibility includes providing for the child's education. REPEAT: this responsibility belongs to the parents, not to the state. Over time, it has gradually become the norm for parents to delegate that responsibility to schools, but it is still primarily, and ultimately, THEIR responsibility, NOT THE STATE'S.
Second, because they have this responsibility, the parents ALSO have the corresponding RIGHT to fulfill that responsibility as they choose. Parents who homeschool are NOT usurping the school's "rightful" job of education; they are choosing to fulfill THEIR rightful job of education themselves, rather than hiring someone to do it for them.
It is no more appropriate for the state to demand to inspect the parents and their home to ascertain if the job is being done to suit THEM than it is for me to review work my boss has chosen to do herself instead of delegating to me to make sure it is done to my satisfaction. The only time the state has a right and/or responsibility which supersedes that of the individual to the privacy of their own home and their own decisions about raising their children is, as the Constitution states, when there is probable cause to believe that a crime is being or has been committed. Homeschooling your child is NOT prima facie evidence, and therefore not probable cause, that any such crime exists.
Any suggestion you want to make that skirts around the unalterable fact of the 4th Amendment, or the illegality of interviewing minors without the presence of their guardians, or any other legal protections afforded to citizens of this country, will be and should be summarily discarded.
Now please let me know if anything I have said is unclear or unfathomable due to an excess of left-think.