Well, this diet is quite a bit more liberal than yours! The first few weeks are dairy-gluten-and egg free, on the assumption that some people have problems with these foods and don't know it (the idea is to add them back one at a time and see how you do). I haven't gone egg-free, since I'm pretty sure I don't have a problem with them - have gone long stretches without eating them, without any benefit, and usually feel better when I do eat them. I've had my suspicions about wheat, however (although I do not test positive for autoimmune probs with wheat, thankfully) and I'm lactose intolerant so I usually only can eat cheese anyway.
Otherwise, the diet is no refined carbs, low sugar, lean meats, fish, beans, raw nuts, fruit, veggies, olive oil, avocados, brown rice - and a little bit of dark chocolate I've added in oatmeal, even though it's a gluten-no-no, because I know the amounts of gluten are small (not from the oats themselves, but from cross-contamination in processing) and I know from prior testing, as I said, that I don't have gluten antibodies.
I did buy some quinoa, which is a gluten-free grain, but haven't tried cooking it yet - got any recipes?