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/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 - whihc may or may not be fine for them.
Finally there is the despicable class of preachers of alternative solutions such a 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, I had to let some steam off :)