I shoot them, or attempt to shoot them at all cost, when I see them.
But coming from the mind of a primarly turkey hunter if we were to eradicate coyotes, what would happen with the little varmints that destroy turkey nest?
I'm not sure that coyotes eat the varmints that destroy nests. Yotes prey mainly on rabbits, fawns, poults, mice, ect. I've never heard of one eating a raccoon or opossum or skunk. The only way I know of to adequately control predators is by periodic and consistent trapping. You will never shoot enough of them to negatively impact the population. Honestly, I'm not gonna let a yote walk thinking he may eat a coon and thereby save a nest.
Every yote needs to die. Our rabbits and mice were kept in check by hawks, snakes, and foxes prior to the 1970's and 1980's when huge influx of coyotes crossed the Mississippi river into the southeastern states.
Dr. B