You forgot to mention his attention seeking tendencies though. I don't think the need for attention is something INTP's tend to suffer from much, but dear Dickie D is a media slut. I don't think there's any level to which he won't stoop to get his second-rate opinions out there in people's faces, and he seems to have built a pretty good network of media contacts to allow him to do so. I personally do all kinds of private "musing" on all kinds of subjects, but I don't expect the entire world to want to hear about it, let alone take steps to ensure that it will. I would say Dawkins is either ENTJ or INTJ. Most likely INTJ, but I can see arguments both way so I haven't made up my own mind yet.
I don't think you need to resign your INTP status just yet anyway