I found the brief bit on Christian Scientists a few shows back interesting. I was hoping you would get into the origins of the religion on the show, because once you understand that you understand why they don't believe in medicine (even if it still doesn't make much sense from a logical perspective).
The Christian Scientist religion was founded by Mary Baker Eddy. Eddy lay upon her deathbed; science and medicine had failed her. In desperation, she picked up a bible and read a passage about a divine healing. According to her description, Eddy was miraculously healed. However, Eddy still had a problem, indeed the whole religious world since the dawn of time had this same problem: the problem of evil. If God is omnipotent and perfectly good, why does evil and disease exist in the world? Various religions and philosophers have attempted to tackle this issue with varied success. Eddy decided to take a page from the book of Augustine and concluded that evil, in fact, didn't exist. All the ills and evils of this world are mere illusions. By using medicine to cure a disease, you are giving force to that illusion. Since the bible presented us with the means to be healed, via prayer and miraculous intervention, that is the method that Eddy believed we should use.
Speaking of religion, in your podcast where you spoke about creationism and perjury, you mentioned something to the effect that a Mormon needn't swear on the bible if testifying in court. There is nothing in Mormon theology that prevents a Mormon from swearing on a bible in particular or taking an oath in general. It could be that you confused Mormons with Jehovahâ€™s Witnesses, who are discouraged from any participation in government that could be seen as idolatrous.