Not really. I don't think they have enough in common with the GOP mainstream thinking to be a reliable part of the GOP alliance. While libertarian numbers are growing, they haven't done a good job in marketing their ideas, and their philosophical nature, some of it admirable, makes compromise unrealistic with either major political party.
They really have no natural home with the GOP or with the Dems. That's not to say that someday they won't, but I think for now they are best on their own until they win the debate of ideas and get many, many more converts. Until then, they tend to be the smartest person in the room, who hasn't actually accomplished much of anything.
They have a good rap, though.