You wrote: “Coyotes are vile, vicious creatures.”
One day we watched five coyotes kill and eat a deer about two hundred yards from our house. The ‘yotes were blood red from nose to behind their ears. They clean up the after birth following calving and are not too proud to eat a calf if they can manage it. We have been known to shoot them but being the successful critters that they are, we have no shortage around here (se Arizona).
No they aren't...they are part of the balance of Nature and my guns and I help keep things even out there.
Coyotes are good targets and there is no end of them.