Actually, your responsibility is personal change, not collective change.   Jesus is excruciatingly clear on this subject.  If you think that verse is some kind of exhortation to gather together on a weekly basis for brainwashing and to conspire with each other on how to judge and dominate the world, then I don't think you understand Jesus.

Praying for all people, including people in authority - THAT WE may lead a quiet and peaceable life - is good advice for changing our own hearts of hate and fear and anger.   But it is a spiritual discipline, not a material objective, and it's not the end of all the understanding a person needs for making moral choices in the world around them.    Jesus is very clear that we are not to endure mal treatment from others, that we are to walk away and shake the dust off our feet, that we are to confront those who wrong us, with witnesses if necessary, and to shun wrongdoers if they refuse to acknowledge the truth.