Majority rule with minority rights. In democracies, people usually accept decisions made by the majority of voters in a free election. However, democracies try to avoid the "tyranny of the majority by providing ways for minorities of all kinds to have their voices heard as well.

Varied personal backgrounds of political leaders. Democracies usually leave room for many different types of citizens to compete for leadership positions. In other words, presidents and legislators do not all come from a few elite families, the same part of the country or the same social class.
Whats the most important idea of this paragraph?

The most important idea of this paragraph is the concept of "varied personal backgrounds of political leaders" in democracies.

The most important idea of this paragraph is the concept of "majority rule with minority rights" in democracies.

The most important idea of this paragraph is the concept of "majority rule with minority rights" in democracies. It explains that while democracies accept decisions made by the majority of voters, they also strive to provide ways for minorities to have their voices heard and protect their rights.