The Bible says that "the powers that be are ordained of God" and that "rulers are not a terror to good works, but to the evil" (Rom. 13). Therefore we NEED political powers, God has ordained human government. The way we get political powers in America is by....voting.
Paul exercised his political rights as a Roman citizen (Acts 22:25, 25:11) and the Bible never condemns doing that.
Religious people love bondage, they love to invent their own rules to enforce on other people instead of walking in the liberty that we have (Gal. 5:1).