Military House = Convict Housing?

No offense to any ex-cons who are trying to turn their lives around, but I don't want you in my military. I'm sorry, but, if a teacher has to have a superb background in order to be around children, why can a criminal join the military and move into housing with hundreds of military children? Heck, how can you even be trusted to defend and serve as required if you couldn't do it in the day-to-day life?

Am I the only one that thinks this way? I mean, the military is at capacity and trying to get rid of soldiers to lower their budget, so why aren't the standards for becoming a soldier drastically rising as a result?