As long as they stick to deer, all is well. It's when a no hunting policy creates a few generations of lions that don't fear man I worry about. I went after them w 44 pistol but couldn't get within range. From what I'm reading, I had too much gun.
Coyotes and raccoons bite more people in the East Coast than anything else. Coyotes got a rather talented folk singer who was gathering material for her next album. Eastern Coyote is larger and more aggressive than western cousin.