This video talks about Greenspan being a devotee of Ayn Rand and has footage of her standing with Greenspan while being sworn in as Fed Chairman. Text from his memoirs reveal his devotion to Rand's free market ideology, and as a result, he had reservations about upholding U.S. law as Fed Chairman. The video also discusses Greenspan's ideological opposition to regulating the financial fraud that led to the financial crisis. His memoirs say that as Fed Chairman, he was advocating for "free market capitalism as an insider." This demonstrates that Greenspan's definition of free market capitalism is very different from that of small business owners who bear the cost of unregulated financial fraud.
During my conversations with anarchists at DP, many have referred to Ayn Rand's ideology as supporting theirs. So the anarchist ideology would also seem to have common ground with former Fed Chair Alan Greenspan. The first link is the video, the second is an anarchist referencing Ayn Rand.
http://www.dailypaul.com/277342 (Rand Paul: One person can make a difference)
http://www.StandUpForYourRights.me/?p=1264 (Fast and Furious hearing)