Actually, I do. I don't know what kind of options are out there for this man, but I would do my best to find out what they are. If nothing else, and/or until something could be implemented, yes, I would bring him to my home before I would dump him out on the street to fend for himself.
"And the King shall answer and say unto them, Verily I say unto you, Inasmuch as ye have done it unto one of the least of these my brethren, ye have done it unto me." Matthew 25:40
"Then shall he answer them, saying, Verily I say unto you, Inasmuch as ye did it NOT to one of the least of these, ye did it not to me. And these shall go away into everlasting punishment: but the righteous into life eternal." Matthew 25:45-46
You would bring them to your home? You'd better get going. I bet they drop about 50 patients a day down there. This is not a one-shot deal. And it will take more than platitudes to fix it. Even Jesus said, don't forget -- "The poor will always be with us."
Why is this guy homeless? Has he trained himself for any sort of job to provide for his own needs? Is he taking care of his health at all on his own? Was he, when he provided for himself? Is he that guy I heard on the radio who said, "When I worked, I just never had any time to read books. I decided to be homeless so I could have a better quality of life."
I worked a long time at a neighborhood food bank. Sad stories, yes, but most of the people were actively working to better themselves. Many homeless people have chosen a life of drugs and alcohol; this is not a great way to provide for your own needs, and it makes your life someone else's problem.
Compassion, yes, it is truly earned in this. That the state should fix it, I don't believe that is true. Am I my brothers' keeper? Yes, I believe that is true. Jesus said, however, "Pick up your mat and walk."
It is not black and white.