This is, overall, an excellent book. I came to it AFTER having spent more of my life than I care to remember critiquing Dawkins (The God Delusion), Hitchens (God is Not Great), Sam Harris (Letter to a Christian Nation) and also Bertrand Russell (especially 'Why I am not a Christian').
It is interesting how self-referencing these books actually are - and Peter Williams in his modest treatment, accurately diagnoses the mindset and logical fallacies implicit in their arguments. It is not (I do not think) written with an atheist readership in mind - and in my (limited) experience, Williams' use of connected argument is unlikely to appeal to that kind of readership - but for Christians seeking to understand the philosophical underpinnings of modern (or 'new') atheism, this is a must-read.
So, I could have saved myself a lot of time, by cutting to the chase and reading 'A Sceptic's Guide to Atheism'. Why don't you?