I would definitely NOT pay. You have little control over who is selected to do this patrolling. It could easily be criminals which would make the matter worse.
Crime, anyway is falling dramatically across the western world, so it's not even necessary. You can find a discussion of this here, with some possible reasons for it. The one I like best is the abolition of Tetraethyl lead in petrol.
People are reluctant to believe this good News
however. I think the press is responsible for this. A good crime story is a wonderful way of boosting sales. It is a sad thing that although you are safer now than you ever were, a lot of people, particularly old folk, are terrified to go out after dark and are virtually prisoners in their own homes.