I might be way off here(not really) but my understanding is that the National Guard/Air National Guard is the militia described as in the 2nd.
1)They are armed/funded by Congress
2)All members are citizens of the respective state/territory
3)They can be federalized in a time of national need
4)The governor of each state/territory has command of them
5)All members swear loyalty to the state and government* (*their oath is the same as the oath any active duty member took; our oath recall is to defend the Constitution not the government and it is binding so once you swear/affirm to it you must obey it for life or as long as you are a US citizen )
http://en.wikipedia.org/wiki/Title_1...ed_States_Code
http://en.wikipedia.org/wiki/Title_3...ed_States_Code
Also why the emblem has a minute man in it.