Hasn't it been proven time and time again that culling DOES NOT eliminate "nuisance" wildlife? It would make much more sense for people with concerns to make sure they don't leave garbage available to wildlife (luring it to your backyard) and supervise your pets! Don't leave them available as a food source! Where I live, we have lived with this forever and don't have a huge problem. If there is a a particular animal causing a steady problem, it is dealt with on that basis.
Lots of local coyote hunters are happy to help out! Used to do a bit of this myself, but honestly I enjoy the sound of their chorus on my early morning walks