That's more likely to be the National Guard or something like that. Which is military indeed, but not the same type of military that we're talking about here.
The National Guard is as equipped to kill as any element of the regular military. NG units have served in combat roles in pick-a-conflict-in-recent-memory.
That's just the US, of course. Pick a natural disaster anywhere in the world - the military(or militaries) of the region are the first to respond and form the basis of the relief efforts thereafter.
