To understand the Kristol aberration, you need to consider the strange morphing of Kristol's father--the acknowledged "God-father" of the Neocon movement. To understand the latter, from the senior Kristol's own key-board: The Neocon Phenomenon.
Hint: There is little that is either "new" or "conservative," about Bill's upbringing--or the "values," that he has not rejected.