Two coyote pups hung from utility pole in Vermont - petition to Gov

[Beringia]

2. This is the animal rights group

Coyotes are the most persecuted but they are too adaptable to ever be eliminated, thank goodness. This is about animal rights, humane treatment. This is cruel, inhumane and sick to hang coyotes on display. It is also cruel to allow hunting of them during their pupping season, where pups can be left to starve to death.

You cannot bring back apex predators except in wilderness areas, so that could not be a solution for bringing down coyote populations. Coyotes eat rodents and have self regulating populations, as you note killing them only increases populations.