71997
While there are lots of issues with welfare, remember that 39% of homeless people are under 18. Over a quarter of homeless people are mentally ill. Over 80% of homeless people are only there for a few months. So There are actually very few people who genuinely make a living by gaming the system.
http://www.nationalhomeless.org/factsheets/who.htmlScreening is easy if it's just screening ten people, but when a hospital screens a thousand people its bound to make mistakes. Like you said, size isn't efficient, and the ratio of doctors to patients won't allow for small scale health providers. But anyway, we both agree that good screening is idealistically a good thing.
I start disagreeing when you bring in religious institutions. My personal experiences with churches have not been good, and I also believe in separation of church and state. It's too easy for bias to creep in. Screening should either be done by the government or by insurance companies with some government oversight to prevent malpractice. You also say that doctors can be reimbursed by a tax deduction, isn't that basically a government insurance system? People who can't pay themselves are paid for by tax breaks.