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Most states call this force either the State Guard (as distinguished from the National Guard) or the State Defense Force, but others use different titles, like the California State Military Reserve, the Indiana Guard Reserve, the Massachusetts Volunteer Militia, the New Jersey Naval Militia, or the Ohio Military Reserve.
A superb example of how state military forces are already integrated into the consequence management aspects of homeland security in states where they serve can be seen in the actions of the New Jersey Naval Militia in response to the 2001 World Trade Center attack.