That summary is 100 pages long (31,547 words). I'd recommend trimming it down. I hadn't looked into this much before, but was quickly able to find a study repeating my concerns:
All these theories have in common the distinction between cognitive processes that are fast, automatic, and unconscious and those that are slow, deliberative, and conscious. A number of authors have recently suggested that there may be two architecturally (and evolutionarily) distinct cognitive systems underlying these dual-process accounts. However, it emerges that (a) there are multiple kinds of implicit processes described by different theorists and (b) not all of the proposed attributes of the two kinds of processing can be sensibly mapped on to two systems as currently conceived.
I haven't read the book, but the dual-processing theory itself comes across to me as tautological. I look at the evidence often presented and think they're arguing: if somebody gets the right answer, they must either be using System 2, or the right answer must be a part of System 1. If somebody gets the wrong answer, they must not be using System 2. Just skimming your review, I got the impression you were just attempting to describe the book, and not being very critical of its arguments. In particular, I couldn't find any discussions of the empirical evidence. What do you think are the most important studies which either support or hurt this theory? What sort of studies do you think need to be performed to really say whether this is a good accounting of human reasoning? What would cause you to decide this theory is wrong?
My purpose was to provide my long summary, not a review :-) I think there's lots of interesting stuff from Stanovich and others on alternative ways of depicting human thinking processes. Not saying Kahneman is right or wrong. Just wanted to share my notes for the benefit of the community. If it was a review, I wouldn't have posted it on the wiki itself.
I've made very extensive notes, along with my assessment, of Daniel Kahneman's Thinking, Fast and Slow, and have passed it around to aspiring rationalist friends who found my notes very useful. So I though I would share these with the Less Wrong community by creating a Less Wrong Wiki article with these notes. Feel free to optimize the article based on your own notes as well. Hope this proves as helpful to you as it did to those others whom I shared my notes with.