Jesus didn't live in a democracy; the people of His day couldn't vote and they had no choice about who would rule them. Decades before Jesus' birth, the Romans had invaded that part of the world and they maintained their power by brute force.
But Jesus did teach us to be good citizens, and to work for a better world. The people of His day couldn't do much to change their world, but He said they should do whatever they could -- and so should we. "Give to Caesar what is Caesar's," Jesus told His listeners when they asked Him if they should pay their taxes (Mark 12:17). The Bible also tells us to pray for those who are involved in government, "that we may live peaceful and quiet lives in all godliness and holiness" (1 Timothy 2:2).
Let me ask you the same question I've asked others who say they aren't going to the polls because their vote won't matter: What would happen if everyone felt the way you do? You know the answer: In time, our democracy would come to an end. Don't take our freedoms for granted, and don't take our system of government lightly.
Ask God to guide you as you vote -- and then make the effort to get to the polls during this election. And once the election is over, pray for those who have been elected, that they may seek God's will for our nation -- and do it.