Do you consider the Libertarian movement to be more liberal (modern not classical) or more conservative?
Conservative. Some libertarians are socially liberal. However most are more concerned with individual liberty and people tend to confuse that with liberal in modern sense.
It is hard to say. Socially they are more liberal, economically more conservative. I think they would split 40-60 with more siding with the conservatives.
Socially or Economically?