The leadership is way too PC but that is slowly being taken care of. Rank and file probably supports Trump, in my opinion.
And what is the point of a story like this which is unprovable and has no real-world meaning, except to try and discredit Trump which is an exercise in futility and annoying futility at that.
I was a member of the "rank and file", as you call it...I made it as far as Captain, and never considered myself more than an "average" officer. I respect the Office of President, but despise the bullying and amoral man that is Donald J Trump.
I voted for Carter, mainly because I detested the pardon that Ford gave Nixon. Although Carter was a weak and ineffective President, I never voiced my disdain for him. I was too busy as a lieutenant in the early days of the all volunteer force.
I did advocate for Reagan in the weeks leading up to the 1980 election, but only in discussions with my German neighbors at the neighborhood gasthaus. They were certain that Reagan would start WWIII. I was nearing the end of my 4th year in Germany, so my German was quite good by then. All of our discussions/debates were in German. Imagine that, a 26 YO American educating his middle aged German neighbors in their language.