A few years ago I was told to try a little baking soda solution when the reflux came on strong. It worked very well, and is now my go-to solution when I wake up with tasty hydrochloric acid in my mouth while sleeping. (Yes, I could go on and on about diet, exercise, chiropractic cures for hiatal hernias, etc., but if you suffer, you'll find your own path, and if you don't, undoubtedly I've already disgusted you with too-graphic language.)
It's simple: counter the overactive stomach acid with a weak base. It works. Not sure I agree with the idea of making an entire diet out of it, though.