In this article on CapX, Matt Ridley perfectly articulates why I, as a Libertarian, never saw myself as ‘on the right.’
From the Levellers of the 1650s to the Chartists of the 1830s, via the Boston tea party, the radicals on the “left” of British and American politics consistently demanded free trade and free markets as well as free speech and political reform. Richard Cobden, the great champion of free trade responsible more than anybody else for that extraordinary spell between 1840 and 1865 when Britain set the world an example and unilaterally dismantled the tariffs that entangled the globe, was a passionate pacifist, deeply committed to the cause of the poor, who was heckled as a dangerous radical when he first spoke in the House of Commons and who refused a title from a monarch he disapproved of. Hardly a conservative.
The rest of the article is well worth a read.