I think you misunderstood me. It's just unions that are not the government's business, but business and the economy itself. Libertarians don't want to deregulate the economy for fun and freedom. They actually believe that the result will be beneficial. The libertarian stance towards unions would probably be to leave them alone, but they would a vision of how leaving unions alone would affect them. Knowing what you know about libertarianism, what do you think that vision would be?
I'd guess that if employers are overly exploitative, that the popularity of unions would grow. If employers treat workers well, unions would shrink naturally.
Because libertarians are very pro-personal-liberty in principle, I could imagine some libertarians supporting right to work legislation to prohibit a company from making union membership compulsory. On the flip side, because libertarianism supports deregulation, I could imagine some libertarians opposing such laws, since that itself would be a form if regulation. But even libertarians who should support right to work laws would likely recognize that if employers treat workers unfairly, more people would choose to join a union.
Like any other ideology, there can exist divergent beliefs.
The party platform does not mention right to work laws (too controversial within the party?I don't know.)
