Statistically, realistically these events can not be eliminated entirely. Hopefully we can improve our numbers, and no reason to think we can't, looking globally.
But part of the problem is, in fact, the necessity of labeling and disassociating. It chills discovery, diagnosis and treatment.
Think to yourself, have you ever contemplated suicide or murder? Odds are overwhelmingly Yes. Would you tell anyone? Why not? What would you fear? Now if YOU won't admit it, who the hell would?
We so stigmatize and ostracize these people that there is very little chance that they will actively seek help or understanding. Then, even worse, is that when we do discover and diagnosis, we simply use that to make ourselves feel better. "Oh good, I knew he was crazy..," and then we just try to separate them from the herd.
And what is worse than one mentally ill person? Herding them all together, for a collection of them.