I don’t really think this holds the point you think it does.
While property crime is more likely to be committed by people the lower their income level is, the majority of all violent crime is committed by people who have homes.
In fact, the homeless are far more likely to be the victims of a violent crime than any other income demographic.
Furthermore, the unstable and dangerous people you see behaving erratically on the street are not necessarily sleeping there - and the homeless in the area probably feel much more unsafe about their presence than you do.
Which is that if you’re scared of being assaulted by someone you should be scared of everyone around you at all times. Someone’s housing status does not make them any more likely to attack you.
Being scared of homeless people hurting you is like being scared of flying in a plane when you drive a car every day.
While property crime is more likely to be committed by people the lower their income level is, the majority of all violent crime is committed by people who have homes.
In fact, the homeless are far more likely to be the victims of a violent crime than any other income demographic.
Furthermore, the unstable and dangerous people you see behaving erratically on the street are not necessarily sleeping there - and the homeless in the area probably feel much more unsafe about their presence than you do.