You are in a leadership role, and you are not in a position to leave the job. How do you ethically represent the company without compromising your own beliefs?

Suppose you go to work for an organization that you discover does not align with your personal values. You are in a leadership role, and you are not in a position to leave the job. How do you ethically represent the company without compromising your own beliefs? What opportunities would there be for you to strengthen yourself as a leader and to strengthen the organization?