Incorrect. The National Guard units are STATE run entities. Up until the 1980’s, when President Reagan issued an EO changing the way things worked, the president had to ask permission from the governors to use them. Except when they are mobilized by the president, their commanders in chief is the governor of their respective states.
The governors are in control of their units only in non- military useage. they can call out the guards for state emergencies. The big difference is that the weapons carries by national guard units are strickly controlled by the Federal goverment. The governor can order units to duty in the state but without weapons, for that he needs Federal permission. How does a governor protect a state with unarmed soldiers?