I can't help but be in awe at the power of satire. Arguing with someone who believes in homeopathy (I'm not even counting all the people who think that homeopathy is the same as herbalism here) can feel pretty futile. You can try explaining the why's the wherefore's the facts and the science of why homeopathic "medicine" is really nothing but water until you turn blue and still make very little impression on a believer. But here with a little bit of humour Mitchell & Webb manage to cut right through all that to a very important truth - if you are seriously injured, what kind of treatment do you want? Would you want real ER doctors treating you or would you want a homeopath or someone with some crystals "treating" you? If you trust science based medicine when your life is in immanent danger, why would you trust "alternative" treatments instead at other times. If you want a real doctor when it counts, shouldn't you go to a real doctor for other ailments too?
The last bit of that sketch was just as brilliant. The idea of homeopathic alcohol was also used by another brilliant Brit - Terry Pratchett:
Again, satire manages to get to the point a whole lot faster than any other type of argument. If you laugh at the idea of homeopathic liquor, why would you take homeopathic medicine seriously? If you don't think ridiculously diluted alchol will have any effect on you, why then would you think ridiculously diluted medicine would?
A recent but short-lived line, which never caught on despite the best scientific recommendation, was Bearhugger's Homeopathic Sipping Whiskey. It is a founding fact of homeopathy that the effectiveness of a remedy increases with dilution. Jimkin decided, therefore, that this idea could profitably be applied to his own product.
Strangely enough, the slogan 'Every drop diluted 1 million times!' failed to attract custom even though, in theory, merely being in the same room as an uncorked bottle of the stuff should make the purchaser riotously drunk.
Terry Pratchett, The Discworld Companion