Individuals differ in what they eat and in how they act. Leaving morals out of it, individual animals vary in habits and actions just as humans do. Some are desirable to have around, others are hardly noticed and still others are downright bothersome. It makes no more sense to manage all of the Individuals of a species in the same way than it would to treat all people in the same way. Killing predators or modifying the environment in order to control damages sometimes becomes necessary, but it is even more important to remember that most natural predators are valuable to us.
Predation is one of the fundamental natural laws.
First and foremost, it is a natural counterbalance to the great reproductive capacity of most prey species. Another natural counterbalance exists in the form of competition between predators themselves. A given area can support only so many of each different type of predator. When the numbers of any one kind of predator are unnaturally decreased, other kinds of predators tend to increase and fill the gap. There is another way in which predation is important to us.