I don't think that would be a representation of the will or mood of the east for several reasons. First, as you said, some or maybe even many of the west might vote for Cleary as a strategic move, which could skew the results in Cleary's favor. That would falsely motivate some on the east to say "see! we support DOH, separate ops, and LOA 93 forever!" Others on the east might vote for him to save face, but would also vote for a Contract with the Nic in order to move on.
A representational election on the other hand, would go more along philosophical lines. Either you support USAPA's strategy and leadership, or you support a change that leads to a contract that very well might include the Nic. But as I stated earlier, the best way to shut everyone up is to put a Nic inclusive contract up for a vote and see where the cards fall. That would be the simplest and truest form of democracy, and that would show beyond a reasonable doubt where the will of the collective pilot group actually is. Majority rules.
The reason that will never happen is because those in control, the ones who in my opinion are now in the minority, are afraid of the result. They claim majority rule, but they are afraid of what the majority actually want. Dictatorship in it's purest form. They want to dictate from a position of power, what we all should think, believe, and vote on. Just look at all the talking heads here claiming to speak for us all.