There is no denying that many in the libertarian camp are both fiscally conservative and socially liberal. But that by no means insists that all libertarians are socially liberal. (Some even claim to be libertarians who are economically “liberal” -I just call them wrong.) In fact, many libertarians are both economically and socially conservative.*
For example, we find evidence of socially and fiscally conservative libertarians in folks like Ron Paul, Lew Rockwell, and Mark Sanford. In fact, the Ron Paul Revolution is based around a movement heavily influenced by socially conservative free marketeers. I know many of those who ran Dr. Paul’s presidential campaign and those who now run Campaign for Liberty and Young Americans for Liberty. They are not social liberals; far from it!