I would completely agree with you that the Juwain Philosophy is the key to the book.
It is interesting that the book follows four different groups: Humans, Mutants (who really don’t see themselves as human), the ants, and the dogs. Humans for all practical purposes disappear; the Mutants simply disappear into some alternate reality, the ants remain ants with technology, and the dogs seem to inherit the universe. The ants probably are incapable of using The Juwain Philosophy: mutants use it to send humanity to transcendence, and the dogs don’t need it.
I think it’s a book which opens quite a few portals.