I would say that much of it does qualify as "worship" with a level of dogmatic sacredness that anyone who is caught doing or saying anything that could even be mistaken as critical of soldiers is viciously attacked and villainized. It is tethered to the kind of authoritarian nationalism demanded by the right. The anthem kneeling nonsense is a perfect example of this.
The anthem kneeling is supposedly against the US flag, which of course it is not. But yeah, I have a bunch of red neck relatives who never served a day in their life anyone or anything except themselves claim that it is disrespectful of all the brave men who gave you the right to (actually, it was, among other things, the right to protest).
No actual military I know believes that shit.
I agree that much of the nationalistic military worship comes from those who haven't served, but my brother and father both were career military and fully believe that the kneeling was an attack on our sacred troops that everyone must treat as selfless heroes. I've been around many military lifers who view themselves as the selfless saviors of humanity and Kaepernick as a traitor. The anthem and flag itself have become essentially synonymous with praise for the military among conservatives. In fact, I bet the vast majority of Trump supporters and Republicans in general who are vets hold this view, and polls show most vets support Trump and they skew GOP almost 2:1. And I dont' think this is b/c the military experience makes them conservatives. Especially over the past 20 years when actual combat has been a high probability, many have joined b/c they support the killing of the non-Christian, non-white evil. Bush invoked Christianity to invade Iraq b/c it works. There are vets who are a minority exception, but there is strong vein of far right nationalistic, religious, white supremacy in the military. My brother was always a mindless follower prone to authoritarianism but he never said the N-word in his life, until after just 3 months in the military on his first leave it was every other word (the other word being "bitch" to refer to any woman). Completely predictably, he is now a cop.