These are all value judgments that say more about your own biases than about predators, farming, or livestock. If the bobcat is a "beautiful apex predator," then that makes me a beautiful apex predator++. The bobcat lives exclusively by killing other creatures. If I want to "secure my birds" by killing a killer, then that's my prerogative. We are a part of the food web, not somehow apart from and beneath it. If I want to free range my birds and kill every predator that tries to kill my animals, then so be it.
I'm not saying that's what I'll do, but I sure don't appreciate your moralizing as if bobcats are somehow morally superior to farmers or birds. We all have an equal right to live.