I would not assume the right owns the military. Obama spent a lot of time and effort on military promotions and the top generals along with the colonels and Majors are pretty liberal these days. The military is full of Vindmans hese days and the top generals have opposed much of Trump’s agenda and simply refused to carry it out that is why the military is full of twinkies and cross dressers.
The field grades and general officers are more than "pretty liberal". Many of them are almost politically radical in thought. It's being drilled into them in the service and senior service schools. Those not liberal aren't selected to attend and end up being separated. This isn't your daddy's (or mine) army. They will gladly support what the media narrative is. They're scared sh!tless of a "not woke" accusation.