It's a better diet than many have but one thing to look at when following a diet is what is the author selling is it just his book to pass on his academic knowledge or market products.
If its products, a red flag should popup see Dr. Hyman's
web site is selling a bunch, not that that's necessarily wrong just use caution following.
His backround is in family medicine not nutrition.
You listed several no items, but all of those are yes items except dairy, in a vegan diet, in fact there are more choices for your meals.
I think you owe it to yourself to investigate further
for just what is right for you there are many choices.
If you like this one stick with it.