I prefer "Anticonservative." Several uneducated libertarians on this website have been calling themselves "Anti-Federalists" lately because they are too ignorant to recognize the irony: The Anti-Federalists main issue was oppositing to the Aricles of Confederation, and, later, the Constitution.
You can be a libertarian Republican or you can be a conservative Republican. You can't pick your friend's nose, and you can't be a "libertarian conservative."