The constitutional convention vote is required to happen every ten years, and will likely fail, since it failed by a mile last time and I know of nobody that is campaigning for or against it.

Even if it passed, any proposed changes would have to be approved by 60% two thirds or more of the New Hampshire voters.

No, a constitutional convention does not allow a minority of voters to impose their will over us all.

EDIT - corrected the mistake that was brought to my attention.