Ive lived in cites, suburbs, and rural, and it never mattered where we were, bad things still always happened to good, and bad people. People are people, and many are pretty stupid too.
Currently, we live in a very rural area, and people are still people, and doing stupid crap to each other, including killing each other.
Personally, I think the best thing to have if you are worried about home invasions is, a couple of big dogs that love you. They are a roaming alarm system, constantly on guard, and if someone were to somehow get in, youll know just where they are, by the screams.
Knowing anyone is outside, before they are inside, is a big plus, and with the plethora of security things available today, its an easy thing to solve. We have a number of perimeter alarms that let you know if something or someone might be around the house, and even with those, the dogs often alert before they even go off.
And I still cant stress the point hard enough, if you arent wearing a gun, you dont have a gun. No matter how many you might have around and think you will get to in time.