NJ, in areas with good schools, has higher property taxes.
This is mainly caused by having a ridiculous number of tiny towns and tiny school districts, each with redundant services and employees.
NJ has effectively a publicly operated system of private schools where the tuition is the tax burden.
Grades 9-12 feed into a regional high school, which also has its own school district containing just that school. It also has its own superintendent and principal.
I don't think "redundant" is a strong word for this situation.
And that's not even accounting for the principals. Think of it this way: if a country's navy has only a single boat, does it really need both an admiral and a captain?