According to this excerpt from Dr. Martin Luther King Jr.'s Letter from Birmingham Jail, it is clear that

King wanted a peacful way for their equality to become reality in government. He worked alongside his Christian and Jewish brothers in the similar goal to go against the power of white man. Even with the Brown v Board of Education, colored people were still treated indifferent. King's ultimate goal  was to create a life for the people as once did Thomas Jefferson. King considered himself an extremist as he worked against the governement in what he knew would be the betterment of futrure generations to come. For the illegal act of separating colored from whites was still in place for some while amongst the government took no direct action. King frequently addresed the Brown v Board of Education and talked about how the people involved in the Constitution of the United States were people who wanted better for those working on that fair land. There, people would prosper than be afraid of the British Kings rule. They would stand up for what peace they wanted for themselves. So it is clear that King wanted the U.S. to become more aware of thier issue of inequality. He wanted to peacfully fight back against the KKK and the ehite supremmists. King wished for a peacful protest and hoped that his actions would after 350 years of hard  labor and toil, to finally be treated as one equal.

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imma say false because i dont know anything about this.