Classical liberalism and libertarianism are ultimately radical creeds. They foresee worlds that have never been rather than must necessarily be (dogmatic leftists) or never were (dogmatic rightists). Hayek closed The Constitution of Liberty with the thought that he was not a conservative and that his position, that of the true or classical liberal or libertarian, was as far from conservatism as from socialism.
Alan Ebenstein, Hayek's Journey: The Mind of Friedrich Hayek (2003), Introduction