You presume a lot. Personally, I would not feel any differently at all about cougars or wolves if they killed a domestic animal of mine. I would feel sadness for losing my dog, just as I would if it got hit by a car. I wouldn't respond by seeking out the death of the cougar any more than I would try to kill a driver who ran over my dog, or try to enact laws to prevent anyone from driving in my neighborhood. So, no, I wouldn't shoot them too. What I might do is put some thought into effective deterrents, such as a couple of big dogs or a llama, which have proven very vigilant and effective in protecting herd animals. Shooting a cat simply opens up a territory, which is then occupied by another cat. I ask again -- where do you draw the line? Kill 'em all? For what it's worth, most ranchers have access to compensatory government funds if their livestock are lost to a protected predator.