Of course there is always the oh so subtle difference between "being harassed by the police for being homeless" and "being harassed by the police while incidentally being homeless".

I've lived in 3 major cities, and I've only once seen what I would describe as unwarranted attention from the police directed the homeless. In fact, the majority of the time the police seem to completely ignore them, even when they're purposely making a scene. They know there's realistically nothing they can do, crazies will be crazy.