Everything has it's place and coyotes are only filling a nitch left open by mans mismanagement of the land. Usually coyotes will rarely attack a human child, but it does happen. When I lived in So. Lake Tahoe on the California side, a man shot a coyote in his front yard, with a .22. The reason he shot it was that it had attacked his 3 year old daughter as he was standing there with her. What happened to the hero father? He was arrested, convicted of a felony discharge of a firearm in city limits, lost his gun and the right to own any others ever again and spent a year in jail, losing his job, losing his home and losing his wife and daughter who left him and went back to the big city. As far as children getting attacked by any animal, it's their parents place to watch over them when they know that there are dangerous animals about. The attacks won't lessen or go away, but safeguarding against attacks with fences and a watchful, protective eye will certainly lessen the effects, if and when they do happen.
BTW, I found Mtn. Lion to be quite tasty. Prepared properly it is excellent table fare.