A multi-party system of government, also known as a multiparty system, is a political system in which three or more political parties can take control of a government, independently, or in a coalition. As an example of parties using this type of government are Denmark, France, Sri Lanka, Japan, Belgium
This is a metaphor to be good to those in power. That means respect your government, teachers, and parents, despite your personal beliefs. I'm guessing a pastor would be most likely to quote this passage.