Surely the military tilts right; I've seen numbers from 60/40 to 70/30, but there are quite a few staunch liberals in their ranks. It may seem naive, but I'd offer that these people are sworn to uphold the constitution.

I would trust five military men over five civilians when it came to protecting my rights.

I don't think anti-war qualifies as anti-military. In fact, anti-war is a pro-military position. As the old saying goes: "The soldier above all others prays for peace, for it is the soldier who must suffer and bear the deepest wounds and scars of war."

Considering those poll number I linked to, they might just decide that the best way to uphold the constitution, in your hypothetical scenario, is by putting Trump in office.

Re: "I don't think anti-war qualifies as anti-military.", I rather doubt the actual service members themselves see liberals that way. Being anti-war, of necessity, comes with views that prevent the military from doing its job, whether it be budget cuts or political restraints that risk lives or interfere with legitimate military goals during ongoing operations.