A governor can call the Guard out for state active duty, but he cannot nationalize it.
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I seriously doubt the guard can perform LE duties. Remember the Posse Comitatus Act prohibits the military from performing arrests, searches and seizure and other critical LE activities. I am quite sure this Act applies to the national guard. The guard is relegated to working in a support role to LE. The State Police generally are confined to the roadways. That leaves the political appointed urban hacks - the police departments to run roughshod over their domain. The only LE force that matters in the county is the sheriff, at least those sheriff departments that were smart enough to retain their full Constitutional LE powers.
In some cases, Guard members are “deputized” and given limited law enforcement authority.
My unit was mobilized as part of the Inaugural security in 2009, and we were all “sworn” and deputized for a 72-hour period