By reverse manner I'm assuming you don't mean introducing the Dirac notation first, because from what I've gathered from everyone here that's the proper way to do things. I like how he doesn't introduce the Schrodinger equation until chapter 16 and works with simpler 2-state systems before chapter 16. I know many QM books choose the Schrodinger equation as their starting point. It's true in chapter 5 he deals with a spin 1 particle, but that chapter gave physical motivation for one of the fundamental quantum rules, that: <psi2|psi1>=Sum(<psi2|j><j|psi1>). Anyway, I am wondering what exactly is out of order. I kind of feel bad because I've been recommending the Feynman Lectures to people thinking that it is not only entertaining but good.
There is a lack of problems and you can purchase a book of problems which goes with the Feynman lectures - those problems came from Feynman himself.