Thanks for your replies guys. Just a quick copy-pasted update:
Okay, so I've been drinking kombucha daily for about a week or so, plus a few smaller batches at the start.
Something strange is definitely happening.
My moles are dissolving.
They spontaneously start to go kinda soft and, well, "gooey". They turn into a consistency that makes it possible to scratch them off. I know it's gross, and they kinda bleed a bit sometimes, then turn into a scab, but it's amazing. I haven't put anything on them, any salves or anything. I've had these moles for years and was going to get them cut off.
So far I'm up to mole number six. Three on my belly, one on my neck and now two on my back have just started.