Free Market/Classical Liberalism is not conservative and so is not the present mixture of Latin American style oligarchism with Dickensian/Darwinian freemarketeerism, Enron/Khodorkovsky corporatism and neocon interventionism.
As for myself, I would be considered a Classical Liberal, and view the American Right in all of its forms as being derived from said philosophy (the vast majority of the founders being within the Classical Liberal tradition). We have NO USE for monarchies or a domestic Pope in the U.S.
I also find myself at odds with both the Neos and the Paleos, although both have inherited much from the founding tradition of Classical Liberalism, whether you wish to admit it or not.