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."