Other than both parties agreeing that buying shoddy products from China produced by slave labor is a good thing, I'm not aware of too many more likenesses between republicans and liberaltarians.
Keeping in mind that if you claim you are neutral on a subject, you really are for it (by not enforcing laws against it, you're in support of it):
Conservatives AREN'T for open borders, liberaltarians are.
Conservative AREN'T for abortion: liberaltarians are.
Conservatives believe that homosexuality is an abomination; i.e. they're against same sex deviants marrying. Liberaltarians believe that marriage shouldn't be sanctioned by the state.
Conservatives believe that drug use is harmful to the individual, and thus harmful to society. Liberaltarians think they can do anything they want with their body, as long as it "directly" doesn't hurt anyone else (in other words, they can't see past the ash on their doobie).
Conservatives believe in God and His laws; liberaltarians live in a la la moral relativist land. Even the so-called "Christian libertarians" don't believe that government has a role in punishment. Scripture says differently.
Why sling poop at a party that already wallows in it?
You need to get your small l’s and big L’s straight.