Welcome! I agree that without predators we would be hip deep in rodents and rabbits, at least. However, sometimes a persistent critter should be eliminated from the vicinity, as when a very mangy fox was shot near here, after he killed many chickens during the day, being too ill to hunt during the cold spring nights.
I too like the coyotes singing at night, and watch foxes by day. Sometimes.
But my flock is important, very important, and keeping it safe is a priority.
There's a middle ground here somewhere. Mary