Then logically, you could just go to one military service like the Chinese who have things like, The People's Liberation Army Navy Air Element.
However you want to structure it, the bureaucracy and end fighting remain, unless you do something very simple. That is make one service that has the primary role in theater dominant over the others. I assure you that the People's Liberation Army and the People's Liberation Army Navy and the People's Liberation Army Air Force have to solve the same problems.
Actually, unifying all branches of the armed forces does not follow logically from the author’s argument. He clearly states that the USAF was originally a part of the ARMY and became a seperate branch after a desire to gain prestige.