The active military is almost always better equipped than the militias/National Guard. The militias/National Guard are part of the military, but are usually a lessor equipped part.
The National Guard IS a militia. It is the national militia.
The State militias also exist.
Equipping either is no different than what citizens can keep and bear. NOTHING in the Constitution lists any weapon by type, size of magazine, how scary it looks, how fast is the rate of fire, etc.