I can’t speak for Jehovah’s Witness’s except to say that if they call themselves Christians, I’d like to know where they get some of their prophecy (not MY Holy Bible, that’s for sure) and why they interpret things the way they do. I mean, whatever, but I HONESTLY care for people’s eternal souls and am not afraid to witness to a JW.
And as far as the Bible and voting…there are plenty of specific verses in the Bible that tell us that we are to obey our kings on earth (leaders, etc) and to follow man’s law as well. We are not saved by either man’s law OR God’s law (10 Commandments), but by faith alone in Jesus Christ because none of us are capable of living without sin. Hence, Jesus Christ. We are to pray with all supplication for our leaders.
The Bible also says that God puts leaders in their places and removes them in His time. It’s encouraging to know that God DOES have a plan for all of this. God has had a plan for each leader in history, and each leader in the future to come.
Sorry I can’t answer your question specifically, but it sounded like you could just use some encouragement this morning so I hope this helped. Have a wonderful day. 
***EDIT Then those men, when they had seen the miracle that Jesus did, said, This is of a truth that prophet that should come into the world.
When Jesus therefore perceived that they would come and take him by force, to make him a king, he departed again into a mountain himself alone.
And when even was [now] come, his disciples went down unto the sea,
Okay, there’s the scripture she’s somehow interpreted to mean “don’t vote.” I can tell you…at least in my logic…there is NO WAY this can be interpreted as “DO NOT VOTE.” Then again, I already said I have no idea where they get half their ideas. They also believe that only 144,000 people are going to go to heaven and I won’t even get into the verse they base this one off of because it’s even more ridiculous. God says that “He is not willing that any should perish but that ALL should come to repentence.”
Again, sorry you’re having a rough morning!