John, that kind of distinction btw right and left brain doesn’t hold up to scientific inquiry. There certainly are differences btw the hemispheres, but it isn’t a simple question of thinking vs feeling.
There are interesting connections btw everything and the brain, but guts still don’t think.
I don’t think the dichotomy you propose is useful, at least, I don’t see how.
You are incorrect for the simple reason that your ideas do not match with modern biology. Please consult an intro textbook on neuroscience, or on human physiology.