Well, coyotes, that's a big subject. And, yes, some of them do get cozy. Beth Schacter, who is a member of the Echo Park Animal Alliance, has a coyote not exactly for a pet but as more or less a member of the outdoors household at her home, which sounds like quite the peaceable kingdom, if you're not counting some comic dog-chasing-coyote scenes. Edward Hicks would be proud.
In response to a Chicken Corner query, Beth emailed me the following description:
Slacker Coyote (which is what we have dubbed him) started coming around in early July. We live next to a house which sold this year and the old tenant of the guest house used to feed him. At first we thought he was a pup but he's definitely older. We see him for a few days and then he disappears for a few days. We think he's a he.
Mostly he grooms and sleeps. The cats seem to like him, and we haven't had any cat casualties so far. Dead possums and zero mice. I think he's living in the above mentioned house which is empty and being renovated.