John Piper has a great post on the proper Christian perspective on voting, using 1 Corinthians 7:29-31 as his text.
29 This is what I mean, brothers: the appointed time has grown very short. From now on, let those who have wives live as though they had none, 30 and those who mourn as though they were not mourning, and those who rejoice as though they were not rejoicing, and those who buy as though they had no goods, 31 and those who deal with the world as though they had no dealings with it. For the present form of this world is passing away.
He opens the article in this way:
Voting is like marrying and crying and laughing and buying. We should do it, but only as if we were not doing it. That’s because “the present form of this world is passing away” and, in God’s eyes, “the time has grown very short.”
Read the whole post here to understand how to vote without placing your entire hope in the results of voting.