"Buddhism without beliefs" is a bit oxymoronic, no? :) Any doctrine must start with some assumptions (i.e, beliefs). Perhaps the title means "Buddhism without the obviously wacko beliefs". That doesn't mean it excludes the more subtle ones. Plus, the full title includes "a guide to awakening". That last word comes with a lot of bundled metaphysical assumptions.
Edit: It looks like a quick read, and it was a best seller. Thanks, I'll give it a try. I am interested in refreshing my understanding of the current "western buddhism" discourse (your contention that I'm not familiar with the Buddhist doctrine at all was incorrect).