1. ESOTERIC MYSTICSM. Esoteric doctrines are ideas that theologians and other mystics discuss only among themselves and teach to select students in the inner circles of their movement. (The English word "esoteric" is related to the Greek adjective esoteros, "inner.") Esoteric doctrines are hidden from the public, that is, from the uninitiated individuals who might misunderstand the ideas and react with hostility.
In the 1930s to 1960s, the philosophical and intellectual founders of the neoconservative movement objected to reason as an ideal of the Enlightenment period (roughly 1700-1800). "Through reason," says Leo Strauss (neoconservatism's philosophical founder, 1899-1973), man "becomes aware of his world and its dependence on the 'upper world'." However, Strauss explains, reason is unable to rise to the highest truths, those grounded in that upper world. (p. 110)
What guide do the neoconservative leaders follow in climbing to the highest truths? Thompson and Brook show that Strauss, a Platonist, "seeks a mind meld with the eternal beings," that is, the Platonic Ideas. (p. 106) How can one gain such knowledge? As the first step, "Strauss thinks men gain access to the ultimate nature of things via thinking about what men say about them. Opinions are therefore the basic fact of social reality and are man's 'most important access to reality' . . . ." (p. 107)
As Plato's Socrates found, in Strauss's interpretation of Plato's dialogues, even that dialectical approach is insufficient for attaining higher knowledge. A second step is needed: recognizing that "some kind of nonrational or mystical great leap forward is required for the last push to the summit of wisdom," Thompson and Brook note. This second step is "divination" (daimonion in Greek), which is a kind of "divine illumination" or "revelation" from Plato's world of Ideas, says Strauss. (p. 108)
2. EXOTERIC MYSTICISM. Exoteric doctrines are ideas that theologians and other mystics discuss in the outer circle of their movement or among the public outside the movement, that is, those individuals who have not been "initiated" into special vocabulary and procedures. (The English word "exoteric" is related to the Greek adjective exoteros, "outer.")
The founders of neoconservatism complained that in the Enlightenment reason had "swept aside" the "faith, revelation, and mystic insight" of Medieval Christian culture. "Reason, argue the neocons, shatters everything that gives meaning to the lives of ordinary people; it undercuts their belief in everything that unites and brings order to society." Mysticism, the neoconservatives believe, is crucial to a united and orderly society. Mysticism is the foundation, and therefore for ordinary men the justification of ideas such as "the immortality of souls, . . . an afterlife, and . . . divine punishment, all of which [ideas] are necessary for [ordinary men] to bear the drudgery, injustice, and pain [of] . . . life in this world." In conclusion, the "neocons believe that all societies need religion," say Thompson and Brook. (pp. 78-79)
When leading neoconservative intellectuals speak in public, they advocate conventional monotheistic religions -- with their supernaturalism, mysticism, and altruism -- as guides for non-intellectuals. (pp. 79, 126-127) A secular supplement to conventional religion is "civic religion." It turns the city or nation into a god to whom wealth and lives are sacrificed by their citizens. (p. 86)
"The [neoconservative] philosophic statesman knows that any such . . . civic religion makes truth claims that it cannot verify rationally," say Thompson and Brook. (p. 127) Lacking a rational base, neoconservative ideas about religion or national crusades require "benevolent coercion" to ensure public conformity. (pp. 127-128) Thus brute force must supplement mysticism -- as pro-reason philosopher Ayn Rand pointed out in her essay, "Faith and Force: The Destroyers of the Modern World."
SUMMARY. Neoconservatives rely on and advocate mysticism in two forms. The first, intended for the inner circle of the neoconservative movement, is the secular, philosophical mysticism of "divination." The second, intended for the non-philosophical public at large, is the mysticism of conventional religion -- faith, revelation, and the authority of scripture or priests.
Burgess Laughlin, author, www.reasonversusmysticism.com, The Power and the Glory: The Key Ideas and Crusading Lives of Eight Debaters of Reason vs. Faith
 This post draws from Neoconservatism: An Obituary for an Idea, by C. Bradley Thompsom and Yaron Brook. I reviewed it here: theobjectivestandard.com/issues/2010-fall/neoconservatism-thompson-brook.asp (fully) and conservative.org/acuf/issue-162/issue162cul2 (narrowly). Their book, which I highly recommend for anyone who has a philosophically deep interest in current U. S. politics and culture, is available here: aynrandbookstore2.com/prodinfo.asp?number=HT01B. For David Brooks, the journalist, see the many entries under his name in the index of N:OI
 The N:OI index has no entry for "mysticism," "faith," or "divination." My own notes in the index cite: for "mysticism," pp. 79, 96, 107, 108, 109, 110, 111, 147, 148, 152, 164, and 224; for "faith," pp. 78, 79, 86, 87, 99, 108, and 147; and for "divination," pp. 108 and 147. The index does include entries for "Reason," citing pp. 23, 25, 49-50, 68, 73, 79, 85, 87, 107, 110, 146, 147, and others.
 Ayn Rand, "Faith and Force: The Destroyers of the Modern World," Ch. 7 of Philosophy: Who Needs It, 1982.