No offense to Jean-Luc, but Picard isn't the Pope. What about that excerpt Monkey posted earlier, from the original TOS writer's bible, that explicitly described the Enterprise as "a military vessel" with "semi-military" trappings?
And, again, I'm not sure Kirk would necessarily agree with Picard on this point . . . .
(Heck, Picard considered Kirk a "cowboy," so I'm not sure that makes him the final authority on all things Starfleet. Pike, in the new movies, seems to think that Starfleet could use a few more mavericks like Kirk.)