Slight correction or supplemental thing here OP:
We have no valid evidence or reason to believe that faith healing has ever worked moreso than within the qualifiers that you provided (natural healing over time) and therefore the lack of common sense does not come from a mere exercise of logic, but a look at
History.
To put it bluntly: When those privileged-enough-to -practice-religion do so pimp their beliefs en masse, they open up the floodgates for incidents like this to happen.
"The word of God is the ultimate truth!"
"HORRY s**t! I'd better follow it to the letter and avoid the wrath of gawd at all times, and that means foregoing the logic and inferior brainmeats of man to exercise jesusmagic wherever I can!"
It's called riding the coat-tails of success. Powerful and politically influential christians (like the ******** Vatican or the Muslim Brotherhood, for example) use their success and influence to either willingly or otherwise portray the idea that being a Christian will make you powerful and politically influential.