It seems Republicans in North Jersey are peeved with the Governor's proposed cap on school superintendent pay. Rich towns want to be able to hire good superintendents to protect the quality of their schools and the value of their homes.
It seems these Republicans believe that schools should be run by local municipalities, and not by the State. Which is consistent with the Republican ideal of smaller government.
With respect to the pay cap, the Wall Street Journal quotes Brigid Harrison, political science professor at Montclair State University, as saying that "[i]t's a Chris Christie-style means to an end -- expanding state power to cut local government costs -- that could be hard for traditional conservatives to defend. This flies in the face of some of the ideological considerations that really have informed many of these decisions."