God ordained three institutions: the home, the church, and the government. It is inconceivable to me that God would ordain government and then tell His people to stay out of it any more than He would ordain the family and then tell us not to get involved.
We need to pray that God will raise up righteous leaders. When people tell us to stay out of politics, they are usually reacting to one extreme or the other. We need to be clear about what government can and cannot do.
Government cannot make people righteous. Only God can do that. Our job is not to try and change society through government, but to change people with the Gospel so they can influence the government. Our nation needs more righteous people to get involved in government.