I think it is very optimistic to think this (taking it as read, and assiming it’s an issue throughout the military) would seriously impact U.S. involvement, no matter the cause.

The people in the military self-selected there, largely while the U.S. was fighting simmering wars in Iraq and Afghanistan. That means they do not have even a basic understanding of U.S. imperialism and don’t have the mental outs draftees have. Shovel them some propaganda about duty and commitment and the vast majority will fall in line. A few will quietly go AWOL before deployment, but that’ll be it.