Well, to my ears, for someone to say that Starfleet has to militarized it sounds wrong. Starfleet is already the military. For me, it's like going from zero to ten, when Starfleet is already a ten, so to speak.
Yeah, and even going back to the original TWOK, Carol sez Starfleet has kept the peace for a century. So that would indicate they kept the peace in the LensFlareUniverse at least up until Kirk's birth, right? To do that, they HAD to be military, as talking tough and waving rolled up pieces of paper would not have sufficed.