And the current approach of leaving them to the streets is failing much much worse in practice. Of the politically and economically viable options, kicking them off the street and sending them to shelter (which they can refuse, but they can't stay on the street) is the best option I have seen. Long term we absolutely need to address the issues that cause homelessness, and I think we are overall heading that direction, but the problems of today need to be addressed with solutions for today.