Libertarianism is an affront to all three of the legs that make up the GOP stool.
SoCons don't like them for their live-and-let-live social views on marijuana. On gay marriage, "let the states decide" isn't doctrinaire enough and actually being pro-SSM is a total nonstarter.
Hawks and neocons don't like them for being skeptical of an aggressive, large military and an interventionist foreign policy.
The business wing doesn't like them when they try to end "socialism" and redistribution that benefits the rich.
About the only thing the GOP establishment is okay with regarding the libertarians is their opposition to gun control.
What he said. Especially the highlighted part.