The problem isn't "homeless", the problem is the mentally ill and drug addicts.

But since we've close damn near all the mental wards, there's nowhere for the mentally ill to go.  So instead of given them treatment, we've told them to take a hike and hope for the best.  With predictable results.

Bring back the mental wards.  Bring back the insane asylums.  And stop allowing drug addicts to dictate our public policy.

Is it nice?  Well, probably not,  But is allowing a mentally ill person to scream at figments of their imagination and shit in public nice?  No.  Not at all.