It's better than a private monopoly in my opinion, yes. But a public one.
Anyway, I'd like to see you justify privatizing the police force/army.
What is so great about a public monopoly? Where is the guarantee that government is going to be more ethical, more efficient, and cheaper than corporations? I've seen Private schools and I've seen public schools, and they both have some crap teachers, except one school doesn't force you to give money to it (granted, I'm not completely against public education, this is just an example).