Cops at the gym are cool. Cops as neighbors can be cool. Cops pulling you over usually aren't cool. Whether you believe in 'roid rage' or not, androgens affect your brain, thought process and can overall affect decisions made. I DON'T want anyone carrying a gun on our streets(cop or swat) to have anything in their system that can POSSIBLY affect a decision they have to make in a split second.
When I was a kid (thanksgiving day 1990) the SWAT team invaded MY house. Machine guns, yelling, screaming, little brothers crying the whole works. They had the wrong house. They were looking for my dads estranged brother, an uncle I hadn't seen in years. Anyway, we were law abiding citizens and they made a mistake but they came into my house with guns drawn, anything could have happened.
Over-seas military? Go for it.