vidiot: I read somewhere that people who suffer from mental health problems are statistically more likely to be the victims of violent crime than the perpetrators
You have read correctly.
Incorrect reading/reporting of news items and listening to people chatter will lead to the myth building around mental health and violence. And that is why the myth of mental illness and violence is persistent
95% percent of violent crime is committed by people who are not mentally ill and only 5 percent of those who are mentally ill will be violent (often towards themselves rather than others).
News stories often wrongly link violence with mental illness
Checking Facts and Falsehoods About Gun Violence and Mental Illness
Untangling Gun Violence from Mental Illness