Second, shouldn't an organization worried about the dangers of AI be very closely in touch with AI researchers in computer science departments? Sure, there's room for pure philosophy and mathematics, but you'd need some grounding in actual AI to understand what future AIs are likely to do.

I'm not sure what you refer to by "actual AI." There is a sub-field of academic computer science which calls itself "Artificial Intelligence," but it's not clear that this is anything more than a label, or that this field does anything more than use clever machine learning techniques to make computer programs accomplish things that once seemed to require intelligence (like playing chess, driving a car, etc.)

I'm not sure why it is a requirement that an organization concerned with the behavior of hypothetical future engineered minds would need to be in contact with these researchers.