Yes, the libertarians and/or rinos, are both liberal on social issues and immigration, with the libertarians being to the left of the rinos, both are determined to defeat conservatism within the GOP.
Secondly, they are probably on opposite sides of economic issues, if "libertarian" is a term to be taken seriously.
Third, I really doubt Rand Paul is convinced that he is determined to defeat conservatism within the GOP -- maybe working hand in hand with Susan Collins. He could just as soon accuse you of conspiring to defeat conservatism. Your version isn't any more canonical than his.
Maybe it's too late -- after we've started calling everybody Marxist -- but it's good to avoid rhetorical excesses. There is no libertarian/rino conspiracy and no such thing as a "libertarian/rino."