Is an extremely strong authority figure the best way to keep peace and order?

It depends on the situation or circumstance of which a physical or verbal fight/ quarrel may break out.

Explanation:

Including an extremely strong authority figure is and is not the best way to keep peace and order since it may or may not make whatever the circumstance or situation worse or it may or may not make it better. It may heighten the tension and it might force those who are in the fight - physical or verbal - to become more riled up and triggered. It may bring sense to those who are fighting and the authority figure may or may not help bring those who are fighting to a compromise or they make up.