If NH has gotten more liberal, it's because what people call conservative has gone very far off the map. If you don't account for that, it makes reasonable people look like they're moving left.

If you don't translate "Live Free or Die" as "I want to be left alone and I approve of other people being left alone", then you're an authoritarian who is lying to yourself. If that looks left wing, then again, it's only because of how crazy the far right has gotten.