Logan is >80% Mormon. Indeed, when you have high-trust, high-IQ, low-crime demographics, it becomes a lot more practical to address property crimes - there aren't very many of them, and there aren't many serious crimes higher up the todo list.
It has some, but not all, to do with the people in power. The demographics of a city like NYC are such that you would have to 10x police expenditures and radically expand police powers to get property crime down to those of places like Logan.