Irving Kristol was a CCNY Boy, not a Chicago Boy.
Kristol was a Neoconservative when the “neo” part meant something. It started out as an insult, by former liberal friends, who derided Kristol and others for going where the evidence took them, and turning against their former views and former colleagues. The Neoconservatives were the people associated with The Public Interest magazine in the 1960s, mostly Jews from New York. The leading figures were Irving Kristol, Norman Podhoretz, Nathan Glazer and their circle. These guys followed a half-century course from Left to Right. They started out as Trotskyists at City College in New York in the ’30s and ’40s. Kristol describes that period here. They were anti-communist Social Democrats associated with Irving Howe and Sidney Hook in the 1950s. As the Democrat party undertook to build the Great Society in the 1960s, they became social planners. As that program failed, and Vietnam failed, and the McGovernite New Left began to take over the party, they became Scoop Jackson liberal hawks who were increasingly dubious about government social programs as well as staying hawkish on defense issues. As Jimmy Carter attempted to go beyond detente to something like appeasement, some switched parties and became Republicans. They were hawkish on defense and unideological and undogmatic critics of social programs that did not work. Kristol was the main figure in this intellectual odyssey. He and his colleagues added a critical infusion of intelligence and policy expertise to the conservative coalition that elected Ronald Reagan in 1980.
Rest in peace.
UPDATE: Helen weighs in, with many good links.