Answer:
First I will say that we do not have a problem with deciding what the majority of a group wishes. In fact, at my last mid-week meeting at the Kingdom Hall, we were informed that due to growth in the number of Jehovah's Witnesses in our area, there will be a new congregation formed to handle the new members, which will bring the total number of congregations of that will be sharing our same building to four congregations. This will present a challenge on scheduling meeting times. It was put to a vote by the congregation on which meeting schedule we would prefer to follow. The popular vote was overwhelmingly in favor of one of the proposals, and that schedule was adopted due to the vote of the congregation.
But I doubt you were referring to that type of vote. I am sure you meant voting in a political race, such as presidents, governors, etc.
At John 17:14, Jesus prayed concerning his followers that they are "...no part of the world, just as I am no part of the world."
When Jesus was about to be seized by the crowds to make him a king, he would have no part of it. (John 6:15) He also stated that his kingdom 'was no part of this world.' (John 18:36)
Jehovah's Witnesses loook to a higher government, that is, God's Kingdom, with Jesus Christ as King. This government is very real to us. (Matthew 6:9,10) We also feel that in imitation of Jesus, they must be "no part of the world." This requires neutrality as far as the world's political affairs.
To illustrate, If a person is a citizen of Canada, you would not expect that person to vote for the president of the United States. If they are a citizen of the US, they would not be voting for the members of British Parliment. Since JW's wish to remain neutral as far as this world's political affairs, as Jesus was, they do not engage in the politics of this world, including the voting process.
We as Jehovah's witness absolutely do not vote and it doesn't matter which kingdom hall in the world you go to there are absolutely no deviations in what we believe. We are united in the same line of thought.