No, mass spectrometers are not that hard to operate.
> subjectively one feels better and thinks more clearly
How is that related to toxins? Is coffee also removing toxins because it helps me think more clearly in the morning? Is complaining about public transport to a friend also removing toxins because it makes me feel better?
> Saying that something is not affirmed by science is not equivalent to saying it is denied by science.
Thankfully science has given us tools to base our conclusions on more than our fallible subjective impressions and whimsical correlations. "It seems to help, must be that we're removing something bad" is how you get bloodletting.
Science can strictly speaking not prove any truth, so the incompleteness theorem is irrelevant. Science tries to establish useful models. A model's usefulness is determined by its ability to predict the future (roughly speaking), whereas models whose predictions turn out untrue are eventually discarded.
It is perfectly fine to throw in hypotheses for how things work - that's how science advances. But there is a fine line between suggesting a causation and assuming that it is true just because it makes sense but hasn't been scientifically tested yet. That's more or less the opposite of science, which is (I guess) why there has been a relatively strong response to your statements. That way lies healing crystals.
Could you elaborate on this?