Now that I have stopped consuming gluten, the trigger for celiac, my moods are much more stable. When I inadvertently consume some, part of the reaction I have (which is days long) includes psychological symptoms. Now, in the absence of frequent gluten poisoning, these symptoms stand out.
However, with all this experience, I have no idea how my microbiome affects my mental health. The effects could easily be explained by the immune storm kicked off in my body by gluten. I also have little idea of how my health observations relate to normal people who don't have celiac. Probiotics don't seem to affect my sense of well-being.
There is a startup in Los Alamos focused on personal microbiomes. I'm thinking of getting analyzed: https://www.viome.com