Well, I would start by recommending that you DON'T treat Main Conclusion questions like Inference questions.
Some Inference questions DO have a correct answer that feels like the "Main Point", i.e. like a safe synthesis of all the stuff we were talking about.
But many Inference questions have a correct answer that is not necessarily a big or important idea; it's just an idea that CAN be proven from the provided info.
If we were treating this as an Inference question, then (B) and (C) would both be valid inferences.
But this question wants to know the author's MAIN takeaway. What was her overall advice / judgment?
She's urging the media to fairly represent both sides, but she's adding that fairly representing both sides doesn't mean portraying both sides as equally justified.
If one side is clearly more in the wrong, balanced reporting should still reflect that.
Your problem in how you were reading (B) was based on confusion about the grammatical structure of
X no less than Y
Balanced reporting requires
impartially revealing injustices where they occurno less than (as much as)
fairly presenting the views of each party(A) This doesn't reflect an accurate restatement of anything the author said. The author said that a "perverse" (i.e. crazy) interpretation of balanced reporting would be thinking that all sides have equal justification. The AUTHOR's notion of balanced reporting is NOT this.
(B) This is the author's big takeaway (opinion) and it is supported by the 2nd sentence and the last sentence.
Why does BR require revealing injustices and fairly presenting views?
Because, if BR meant portraying both sides as equally justified, the public would be given a picture of the world that goes contrary to our experience and our common sense.
(C) This is an Inference that can be drawn from the final sentence. However, the author never SAID this, therefore it definitely won't be "the sentence we identify as her main point".
(D) You were right that we can't relate common sense back to civil wars and conflicts.
(E) This is an extreme claim ("cannot be realized"). Nothing in the author's paragraph sounds that pessimistic.
Hope this helps.