I've read the Libertarian Party platform, and I don't see how it's any more moderate than most libertarians...
Well, I'll give you an example. Just a few minutes ago I was viewing their Facebook page to see how they reacted to the Supreme Court decisions yesterday. The page officially praised the rulings, but several users denounced them as further entrancement of government power and said that there would be no need for the tax benefits married couple receive if the government would just abolish the Personal Income Tax. One person even said that the LP endorses actions that are counter to the "actual goal." I'd bet that these folks are in the minority, but I'm only speaking from personal experience.