MLK was killed. Key parts of the US are still extremely heavily segregated. Major portions of the Civil Rights Act and Voting Rights Act have been undone by the courts. Antidiscrimination legislation and jurisprudence is being more often leveraged to prevent policies that MLK would have supported like affirmative action than it is being used to continue the project of desegregation. Teaching core parts of MLK's belief system can get you fired in some states.
I don't think "MLK won" is a complete story.