There are no 60lb coyotes and the wolf hybrids are extremely uncommon
Coyotes are survivors....smart. However, they are no match for any legit dog. Saw a fat, lazy ass lab crush a coyotes chest and kill it in one bite one time. Didn't even know what he was doing. Coyotes will bate other dogs to come to them though, so a premises German Shepard could be lured and out numbered. It has happened. Rare, but real.

Poison them, shoot them, do whatever you want. If it's your property, defend it against coyotes by any means you see fits or works for you. I have no judgment to your methods.

Best of luck