You are there to protect democracy, not practice it. ALL of your rights are allowed at the discretion of your command. Don't believe me? Try wearing a turban to work. Try telling your SMAJ what you REALLY think of him. Try telling your CO, "I'm not turning my rifle in. I have the right to keep and bear arms, and I'm taking it home with me." Try telling your command that you don't have to have a roommate in the barracks because of the Third Amendment. Try refusing a health and welfare inspection on Fourth Amendment grounds. Try refusing to give a statement to the JAG on Fifth Amendment grounds. (You do actually have Fourth and fifth Amendment rights, but they are not handled the same way as if you were a civilian.)
See how this works? You have a tattoo on your butt. Or a brand, if you prefer. It's the same one they used to brand horses that were property of the U.S. Army. I tell people going in to be ready for this, and it has implications they hadn't thought of. I also tell them that if they want to join to get a lot of shooting in, they better be in one of the jobs that is specifically for shooting, otherwise they will qualify once a year IF their unit successfully sets aside the resources to do it.
I have had frank discussions with my command about reasonable options to keep the public safe and to respect the rights of soldiers. One solution I suggested that made them scratch their heads was to allow service members who are in harmony with all applicable state laws, and are willing to coordinate training with the security forces for the post on their own time, to be allowed to carry command-approved weapons as part of a post-wide response team. That way, the command exercises control over who is armed on post, the MPs have told you how they want you to react in a crisis to help them and not get yourself shot by THEM, and you are not stripped of your means to protect yourself as you come and go from post for work. What the heck do I know? They didn't ask me before they made these policies. Guys in the Adminisphere with PhDs and slide rules.