Does the Bible require us to vote? Is there biblical support to suggest that it is our Christian duty to vote, or be involved in deciding our governments actions, or to choose a certain party for election, etc...? Is there biblical support to take the opposite stand (ie., not to vote; not to be a voice for any particular party?).
This is actually a question I asked at my church during the last election season.

I'll break this down into 2 parts

Voting:

I don't see any scriptural support for or against it. I reject the notion that it is a sin not to vote, as I haven't heard any sound scriptural evidence. I have heard people use "Pray for your leaders" (1 Tim 2:2) and "Submit to authority (Romans 13). But the reason we pray for our leaders is because "it is pleasing in the sight of God our Savior, who desires all people to be saved and to come to the knowledge of the truth".

As for submission to authority, until it is illegal to not vote, we are ok.

I see this as a matter of conscience. Romans 14:23b - "For whatever does not proceed from faith is sin." and Romans 14:5 - "Each one should be fully convinced in his own mind."

I think it is good to vote, it is a privilege, but there are times when your conscience will not let you vote for any of the choices, because each person represents something ungodly, that's ok too.

Party Affiliations:

When has any one political party totally held to exclusively biblical view points? 

Isn't it hypocritical to vote in a person because they stand for your beliefs but they themselves cheat on their wife? How does this glorify God? We put people in office to uphold a moral standard, but they themselves don't care to keep it. I think this actually does more harm than good.

Romans 2, describes those who are in position to judge others, but they don't do what they demand of others. This is the same complaint Jesus had against the Pharisees. Are we really doing God a service by voting for people that cater to us, when they don't live like us? Rom 2:24 in the context of hypocrisy - "For, as it is written, “The name of God is blasphemed among the Gentiles because of you." 

Referring to 1 Tim 2:2, we pray for them not so they can merely act Christian, but so they can be Christian. Can the unsaved be spiritually minded? Can they obey the Spirit(1 Cor 2:14)? They are still slaves to the flesh (Rom 6:15-23). The unsaved will always reject biblically guided laws, because it is foolishness to them.

The greatest way to spread Biblical views is still the great Commission, Matt 28:18-20. My main caution is... yeah let's vote, but let's make sure we don't replace evangelism with political activism.