Biblical Counseling Coalition has a piece by Paul Tautges where he discusses why praying for political leaders is so important. First and foremost, God commands us to pray for them. Tautges writes:
When we commit to praying for our leaders (whether or not we agree with them), God is pleased with us and is pleased to work in their hearts according to His will. In relation to this divinely given duty, one passage in particular contains fundamental principles every believer needs to understand. Paul says in 1 Tim. 2:1–4:
First of all, then, I urge that entreaties and prayers, petitions and thanksgivings, be made on behalf of all men, for kings and all who are in authority, so that we may lead a tranquil and quiet life in all godliness and dignity. This is good and acceptable in the sight of God our Savior, who desires all men to be saved and to come to the knowledge of the truth.
In these verses we hear the apostle’s plea to us to be obedient to God by praying for our leaders.