Yes, and hypothetically had someone made a movie called "Martin Luther King's Real Dream" in which King dreamt not of racial harmony but of being some Mandingo figure with a harem of voluptuous white women as his adoring sex slaves, the movie probably wouldn't have been a big hit with the black community even though it used one of their most admired leaders as a main character.
I am under the impression that with Reverend King, that imaginary description you made, bears some truth in regards to his life.