The difference is that the Libertarian Party has the cojones to spell out, in their party platform, the method of implementing the libertarian philosophy. Of course, no libertarian will agree to be pinned down in such a fashion.
It's much easier to be for the legalization of porn and drugs and prostitution, and smaller government, and no taxes, etc. without having to go into the messy details of exactly what that means.
Yeah, there's a difference, all right.
You've read the RLC mission statement that JimRob posted and claimed to agree with it with an exception of the part about drugs. I think the Liberty Caucus details their positions quite well, and you must admit that they are quite different from the LP.