Cowboy Preacher,
In the area of possession of sidearms, the differences between LEOs and military personnel mighty significant!
For example, LEOs live at home, while many junior enlisted personnel live in barracks or aboard ship. Have you frequently been in a barracks immediately after a demanding field problem, exercise, extended deployment, or on a "pay day Friday or Saturday night"? If so, you have no doubt observed considerable foolishness, some potentially dangerous situations, and even some minor injuries. Little -- if any -- of this is deliberate; almost without exception, this is well intentioned "horse play". Frequently, consumption of quantities of alcohol is an inflammatory factor. However, the fact -- proven over the generations -- is young troops sometimes do not employ sound judgment. Adding individually held (not in an armory) firearms to this situation would provide the potential for many of these relatively trivial incidents to become extremely serious.
In addition, can you imagine the public uproar when a young troop -- even the very best organizations occasionally have miscreants -- used an issued, but individually held, sidearm to assault his spouse, to commit a serious felony, or to threaten a fellow service member? Unfortunately such things would happen -- infrequently to be sure -- and the ramifications in the media, in Congress, and throughout the military chain-of-command would be exceptionally adverse.
I open this question to other career officers and NCOs: do you believe issuing sidearms to the troops makes sense? With great respect to our service personnel -- current and past -- and to their leaders, I am convinced this would be a grievous error.