That is probably analogous to the early relationship between humans and dogs (or humans and cats) several thousand years ago. We set up a habitat for ourselves that other animals also find preferable. Some of those animals become domesticated. Others, like mice and rats, remain forever pests. Recent research has shown that there are even insects that find our abodes preferable to the wild outdoors.
“...analogous to the early relationship between humans and dogs (or cats)...”
After that Russian experiment which domesticated Silver Foxes in 40 generations, I wonder if it would be possible to domesticate coyotes? Wish I could afford to set up such a program.
However, wild coyotes are an invasive (in most places), dangerous predator. The only sensible thing to do is exterminate them outside their natural range.