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.
He would then get three meals a day and medical care in a prison.
Posts like yours sort of amuse me. Fifty patients a day? Hardly. It might happen on a regular basis of sorts, but hardly fifty a day and hardly all incapable of fending for themselves like this paraplegic.
Yes, Jesus told the disciples, "The poor will always be with us," but the context was that He was still with them in physical form and there would plenty of time after He went back to heaven for them to care for the poor. That is now.
You ask a lot of questions about the guy that none of us have answers to, including you. He may or may not be like the guy you know who would rather read books than read. None of us know that. We do know that he was dumped onto the streets directly from the hospital with a hospital gown and a colostomy bag and without any ability to move from the waste down. There's NO excuse for that. Absolutely none.
And, in response to your second quote from Jesus, again one that you have taken out of context, Jesus told the man to pick up his mat and walk AFTER he had healed him. Did ya get that? AFTER he had given the man the tools he needed to be ABLE to pick up his mat and walk, not before. There's a lesson in that for us as well.