To read the civil rights actions of that era as the results of MLK is rather myopic. It seems you're being selective about what actually happened.
What about Malcolm X?
what about James Baldwin?
What about the Black Panthers?
What about Huey P Newton?
They didn't believe in the necessity of peaceful protest and they had a massive impact, especially the latter two. And a lot of people seem to conveniently forget that while MLK was alive riots happened, more so after his assassination. And significant change came after that. One can reasonably argue that the social unrest put a fire under the US govt of the time. But it wasn't enough.
One other example outside the US is South Africa. The changes gained were not a result of peaceful protest or a romanticized Nelson Mandela walking out of prison holding hands with FW de Klerk. That's political mythology accepted as history. the truth is that a protract action by students and exiled resistance using some violent methodologies forced that state into progressive action,
As for the stats image, a link to the source would be pretty cool. I don't know what the context of that data is and what is the best way to read it.