I am alway curious when I hear folks say "our goal is to teach people how not to fight."
Perhaps what is meant by this is teaching one to make sure a situation can be brought under control in a very fast, efficient way. If one has some type of training, a situation may not get out of hand. Control and harmony can be quickly restored.
If someone is good at Aikido for example, they may be able to end the fight before it really begins.