Well I don't know, someone like Moore is actually very bland type of 'radical documentarian', especially from a European perpective. I know in US he is seen as the new Lenin or something.
Bunch of marketing bs if you ask me.
And the movies you mention, very bland. Apocalypse Now? They showed US soldiers smoking pot and one instance of them being trigger happy. How 'radical'. Jarhead? I would call that a pro-military movie and also book by Swofford. Yes I read it, wasn't very good, and neither was the movie.
Edit. Also I don't remember Coppola getting assistance from the US military for his film, the helicopters used were from the military of the Philippines if I remember correctly. Jarhead got assistance from the US military and why not? It was as pro-war as can be. I haven't seen Tell the Spartans or MASH.