Question

what is the meaning of When leaders attempt to navigate the slippery slope of fairness, they will find themselves arbiter of public opinion and hostage to the politically correct.

Answer 1

What the author meant from the quote from paragraph 7 was:
People have equal chances no matter the circumstances
The quote developed the central ideas of the article by:
Arguing that doing the right thing is better than doing what is "fair"
According to the writings of the author, he is of the strong opinion that people should not always complain about being born in unfortunate circumstances because every one has the equal chance to succeed.
As a result of this, we can see that he developed the central idea by saying that things which are considered to be "fair" are not always right and proper considering the circumstances.