Honestly, my European perspective is that a homeless person is someone who burnt through their entire support network - family, friends, state help. If they're mentally fit, then their choices landed them on the street, not my problem, be a fucking adult. If they're not mentally fit, then they should be sent to a mental institution, because they won't function in the society no matter what you do.

Also, of course nobody wants to live with poor people. I don't buy this romantic image of poor people being fair citizens failed by the rest of the society. I moved into a poor neighborhood and immediately had my bike stolen, literally living the meme. Real estate prices are lower here exactly because it's a black immigrant neighborhood full of poor people.