Not "nobody should give them a job", just not a job with ability to do harm. But that's for every employer to decide for themselves.
If you don't think somebody having done X before makes them more likely to do it again than normal people, I don't know. (More accurately, people who did X are more likely to be people who would do X again). We just have to disagree - but you can not enshrine such beliefs in law.
As I said, trust has to be regained, merely doing something you are forced to do anyways does not prove anything about your real attitudes.
In "How To Change Your Life In 7 Steps", the founder of the homeless magazine "The Big Issue" John Bird describes what he had to do to be able to have homeless people work for him. I have high respect for people like him.