Absolutely not. It's probably closer to the KSGOP, where there's a wing of "sane conservatives" and far-right lunatics. Sununu is complicit in all of this, and essentially has to go along with the wing or face an actual primary challenge.
Bill O'Brien, the former leader of the conservative wing and Speaker of the House, had a supermajority. He governed the state like Brownback or Fallin, shepherding education cuts, and failing to pass RTW and gay marriage repeal. He also had the same my-way-or-the-highway attitude Trump had and burned his bridges to the point where lost his
majority. Hell, the sane wing of the party refused to back his bid for the speakership in 2014!
While the guy's a has-been now, his ideas live on - especially since Frank Edelblut almost upset Sununu. Sure, the vote was split 3 different ways, but the fact that the grassroots powered New Hampshire State Rep past a rising star in the party and a long-time fixture in Manchester politics showed the power of the O'Brien wing. Even Sununu continued his self-admitted goal of suppressing the student vote, and appointed Edelblut to be Secretary of Education when he was blatantly unqualified for the position.
Sane figures like Steve Duprey have been ousted in favor of Trump loyalists. The new-look NHGOP is a who's who of the O'Brien wing of the party. It really says a lot that Al Baldasaro, who was considered a fringe right-wing extremist 10 years ago, is now a rising star who has ascended towards House leadership.