Yes, people like you or who runs the job. If you can vote to elect the NT manager of France, and assume another important decisions in the game, you can vote between candidates to break the draw. Everyone can do that. It isn't rocket science.
Like i said... "maybe", only an idea i throw to the table.
Election is about subjectivity, if you want go that way, GM's voting is only another step in that subjectivity.
And if you want objectivity, "who starts early" is a really bad one. There are really bad managers winning elections only because they started early...
It's better the subjectivity of 40 persons, instead a "who starts early" clause.
But like i said, only a preliminary idea... i'm certain that there are dozens of better ideas to remove that bad "who starts early" clause.