Question:
Why do the brethren believe that they should not have to vote?

Answer:
In Jesus’ prayer for intercession for His followers (John 17), it is clear that His people are in the world but not to be of the world. It is similarly clear that Christians cannot befriend the world (John 15:18, 19; 17:14, 15; 1 John 3:13), but rather are hated by it. Christians are warned not to love the world (1 John 2:15-17), and are reminded that they are to be crucified to the world (Galatians 6:14) and to “set your affection on things above, not on things of the earth” (Colossians 3:1-4).

The Lord God provides numerous examples in Scripture of His selection of the world’s leaders. For example, God raised up Pharaoh as Egypt’s leader (Exodus 9:16; Romans 9:17) for a divine purpose. God’s hand is clear in the appointment of Israel’s judges (Judges 2:16-19) and in His choice of the nations that would later serve to destroy Judah (Ezekiel 23:22-26). King Nebuchadnezzar was clearly instructed by God that all dominion was of God (Daniel 4:3-32; 5:21).
The world’s leaders are appointed by God, in His time period, in order to fulfill His prophecy. We are to be in subjection to governing authorities, who we are told are established, not by voting, but are ordained of God (Romans 13:1, 2). At the present time, we are in the dispensation of God’s grace to all peoples and look forward to the fulfillment of His prophecies concerning Israel and the world. Although prophetic time periods of the future can be identified in many ways, we do not decide the world’s leaders and cannot predict the time of onset of future periods (Acts 1:6,7; 1 Thessalonians 5:1-10).Characteristics of Christian testimony are directed towards God’s people and people of the world (Romans 12-15:13; 1 Thessalonians 5:11-28; 2 Timothy 4:15). Some individuals may feel that voting or participation in the world’s system may serve to improve the world’s condition. Friendship with the world is enmity with God (James 4:4) and must be avoided. It would appear that efforts to help the world should be directed, through excellence of Christian testimony, towards saving the world’s souls, one at a time (Luke 15:3-10, James 5:19, 20; 1 Peter 3:12-16).