Effective teachers learn how to make the bureaucracy serve them rather than vice versa. They become personally acquainted with people in the bureaucracy so those people are aware of their passion for children and their classroom success stories. They know that when people in power positions know you are successful they tend to leave you alone. Success in itself is powerful.
Having this personal connection also makes it easier to become savvy about which rules and policies must be obeyed and which can be ignored. This way teachers can do the very least that is required in order to devote their time and energy to their students.
Also, the teachers who are personally connected to the people in the bureaucracy they tend to get more "favors" from those people to help them better serve their students. In other words, they have learned how to make the system work for them instead of against them.