Um, MN has voted to the left of NH for as long as I can remember. Plus, given that NH is a moderate libertarian state at heart, it would naturally follow that if a state to its political left is going for the right-wing party, so would the state that's more right-wing.
"Um, VA has voted to the right of WV for as long as I can remember." - Atlas #analysis in 2003. And there is nothing moderate or libertarian about the state's politicians or voting patterns.
I was using "moderate" as the adjective for libertarian. In other words, NH has libertarian tendencies, but it's more of a moderate sort of libertarianism. It's a sort that's not as right-wing libertarian as Ron Paul, Reason Magazine, Cato, etc., but libertarian enough.
Plus, if you look at NH's voting patterns, especially over the past 25 years, it's a state that's prone to the most insane types of swings, on a federal, state, AND local level. After one election, you'll think it's going the way of the Bay Area, but by the next you'll think it's going in the direction of rural Alabama. Yet, you can't pinpoint an exact label on it, because it's THAT much of a swing state.