Lack of a draft is almost directly and solely responsible for the current quagmire of the US military - when we had a draft, normal people were pulled and had to serve with other normal people. They had real lives to go back to. They had family and friends who would listen to them and write their representatives to complain if the use of those human resources was inappropriate. Seeing body bags flying home and a televised razing of a foreign jungle turned a lot of people off from war. And they made their voices heard.
Now, the only people being asked to pay attention are career military professionals. They often do not have a job or life outside of the military to tie them to normal life. They've also gotten smarter about where they fly corpses in, so the news can't provide a solid day-by-day count of the wasted lives. These folks aren't pushing back against the worst excesses of the military, because their college benefit or their pension require them to shut up and just do what they're told.
There's a great documentary called Sir! No, Sir! about the vibrant protest movement from within the military, driven mostly by draftees during Vietnam.
I don't disagree with your initial reasoning, but there's a different take that says that what we have allowed is for the worst of us to control the policy for all of us, with nearly no external oversight.