I am one of those who don't care for coyotes because I have heard death screams of my cats when coyotes came into my yard.

Usually coyote hunt alone but they will team up for larger prey like deer. As humans are expanding most animals are having problems coping with less land, less prey, et cetera but coyotes are flourishing and have become a problem in suburbs. They have become so much a problem in WV that there is now a $50 bounty on them. When I bought my farm twenty years ago they were not such a big problem but they are now a problem.
Coyotes have been known to attack children and even adults. Perhaps you may have read this article -
http://www.cnn.com/2009/SHOWBIZ/Musi...singer.killed/
There is nothing innately wrong with coyote but I am just not fond of them myself.