I was in a similar situation: during a few radio programs with a homeopath and a magnetizer (or whatever the man who has cosmic power in his hands is called), I made informed fun of their "science". They were there to answer and it went sideways.
One thing I learned: their groupies are terrifying.
I was in my PhD phase at that time, and in a very hormone-powered confrontational mood so I went in headfirst.
It was great at that time, but I would not do it now (30 years later), for several reasons:
- I do not have the time I had
- I have a family and these people are nuts. They would literally make standups in front of your house. I was living in a campus at that time, so it ended up well (without going into gory details: not that well for them)
- specifically homeopathy companies have lawyers: when you tell them that their science is idiotic (because dilution, atoms and everything), they will drag you to court (I have to find a reference for that I read some time ago).
- After 30 years, instead of gaining the wisdom I was supposed to, I believe that these people should be made to shut the fuck up, because they are a danger for society. So the discussion quickly turns to words usually considered unfit for a scientific discussion.
You really need to consider if you want to fight, and if you do, whether this is going to be interesting, amusing, fun, and energizing for you.
As a special note for my favourite subject of "the science of homeopathy" (closely followed by "religion and science"), I was trying with the homeopaths to settle the fact that homeopathy may very well work due to the placebo effect. When I take an aspirin, it does not even have the time to drop into my stomach and I feel that my headache gets better, see?
They insisted that there is a physical reason for homeopathy (memory of water, usually) and then we were done.
I also feel that people should understand that they pay 30€ for a placebo effect - which may or may not be fine for them.
Finally, there is the despicable class of preachers of alternative solutions such as these who will use the fear and despair of people and drag them from actual treatments to their crap, endangering their life.
As they say in Kingsman, needed to let of a little steam :)