What were various approaches held toward the civil rights movement between Martin Luther Kind and Malcolm X?

The paper needs to answer this question.
What were various approaches held toward the civil rights movement between Martin Luther Kind and Malcolm X?
The readings we did are below.
Malcolm X “The Ballot or the Bullet” (1964) http://www.edchange.org/multicultural/speeches/malcolm_x_ballot.html
Martin Luther King, “I’ve been to the Mountaintop” (1968) http://www.americanrhetoric.com/speeches/mlkivebeentothemountaintop.htm.

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