Homelessness is a problem that must be solved at the highest possible level of government. Since the 'problem' is able to move around the entire country that is the only way to fairly have the collective whole (society) integrate and restore the individual in need to either being a productive member of society, or at least a dignified living solution for when medicine or some other aspect has failed.
Seen in an even wider view, much of illegal immigration is quite likely driven by the homeless or persecuted ignoring the borders of nations that have failed them, as they seek the natural birth rights of anyone on their planet.
Unconscious biases are likely to have much more effect in ambiguous situations where it's harder to try to understand someone's motivations or how to react, than in a situation where those things are clear. Their absence in the latter does not imply their absence in the former.
Thought experiment. Two crazy looking homeless people approach you yelling. They are dirty in ripped clothes and look to be high on strong drugs. One is black, one is white. Do you feel better about, or differentiate the white person because he is "your people"?