I agree, from the little I know, they do not consider God to be different to the Abrahamic concept of God taken at face value. As you say they stop at "fundamentalist christiantiy etc.". This is the premise on which they build their argument and why their arguments are not sound, in my opinion.
I, personally, struggled to understand Abrahamic religions, I considered myself as an atheist for many years, until I began to better understand Eastern traditions e.g. Hindu/Sikh/Tao Scriptures etc. What I found interesting was that this opened a way to understand Abrahamic religions/scriptures and to see the same 'truth' in them also. This is why I say I personally don't think they fully understand what they are attempting to refute.