"In 1973, Michael Harrington coined the term "neoconservatism"
to describe those liberal intellectuals and political philosophers who were disaffected with the political and cultural attitudes dominating the Democratic Party and were moving toward a new form of conservatism. Intended by Harrington as a pejorative term, it was accepted by Kristol as an apt description of the ideas and policies exemplified by The Public Interest. Unlike liberals, for example, neoconservatives rejected most of the Great Society programs sponsored by Lyndon Johnson; and unlike traditional conservatives, they supported the more limited welfare state instituted by Franklin Delano Roosevelt."
Neoconservatism, Kristol maintains, is not an ideology but a "persuasion," a way of thinking about politics rather than a compendium of principles and axioms. It is classical rather than romantic in temperament, and practical and anti-Utopian in policy. One of Kristol's most celebrated quips defines a neoconservative as "a liberal who has been mugged by reality." As a former Trotskyist, Irving was indeed himself mugged by the "reality" of conservative philosophy and enfolded leftist policies such as a lack of objection to welfare programs, international "revolution" through nation-building/militarily imposed "democracy" and application of Fabian Socialism/Keynesianism coupled with a socially conservative viewpoint. These concepts lie at the core of neoconservative philosophy to this day.
http://en.wikipedia.org/wiki/Neoconservatism
http://en.wikipedia.org/wiki/Irving_Kristol
http://www.commentarymagazine.com/article/irving-kristols-neoconservative-persuasion/