There is no difference, the party is a perfect representation of libertarianism, but libertarians are dishonest enough to constantly be telling us that they are not libertarians, they are just conservatives who like to use a different name.
Libertarians alter the emphasis of their messaging depending on the audience and venue.
I’m siding with Ronald Reagan on this one.
“If you analyze it I believe the very heart and soul of conservatism is libertarianism. I think conservatism is really a misnomer just as liberalism is a misnomer for the liberals — if we were back in the days of the Revolution, so-called conservatives today would be the Liberals and the liberals would be the Tories. The basis of conservatism is a desire for less government interference or less centralized authority or more individual freedom and this is a pretty general description also of what libertarianism is”