A couple of these would make short work of a coyote pack:
That depends upon a lot of things. Do they know how to kill? Do they know how to work together? What is the size of the coyote pack? How capable is the pack? Have they learned how to kill dogs? How many dog handlers would be willing to keep a pack of dogs like that after they have learned how to kill amid a random environment of small bratty kids? Do you want to own that liabilty in San Francisco?
Sheesh.
Seriously. People under-estimate the learning capability of predators. It used to be that wildlife biologists were saying that wolves would never mess with bison. There's a park in Canada, where the wolves got tired of killing each other and figured out how to take down the bison. The bison are crashing and soon those wolves will be back to killing each other, just like they do in Denali National Park.
The problem is that ALL of these systems are missing their historic apex predator: HUMANS. They will never function properly again without active wildlife population management. The carrying capacity of the land will crash. Fires, weeds, and deserts is what you'll get. After all, "it's Natural." The City should hire some hunters to kill them all, and then go after them in MacLaren Park and Mt. San Bruno.
What breed of dog is that?
Another formidable breed is the Sharplaninec from Macedonia and the surrounding area.