Sorry, but I have to disagree with you on this issue. Have you ever heard of Richard Chase, the "Vampire Killer of Sacramento"? He was also Schizophrenic.
He killed six people within a month and cannibalized some of them, as well as drank their blood. He was released from a state hospital when they were shut down by Regan. Allegedly, they did not believe he was a danger to the community.
If you have a strong stomach and want to read about his case, here is the link.
Richard Chase - Wikipedia, the free encyclopedia
I am by no means suggesting that all Schizophrenics are dangerous people. I just wanted to point out that there are definitely some who are very dangerous.