I disagree. Most Libertarians I have known favor making legal acts like abortion, assisted suicide, using dope (many kinds), homosexuality and a number of personal activities Conservatives believe are detrimental to society and should not be legal.
So what? All are state issues under a federalist system. Libertarians and conservatives both support federalism. Bury the hatchet while you fight the common enemy of centralized government, and then battle them in your states when you disagree about abortion or drugs, where the battles belong.
Some of the social issues are what separate Libertarians from conservatives but we both believe in limited, constitutional government, low taxes, sound money, free speech, second amendment rights, state rights.
Reagan never considered libertarians the enemy.