This is ahistorical. The civil disobediance was extremely disruptive and errupted in riots regularly. This is coupled with the Black Panther Party practicing open millitancy. There was genuine threat to the status quo, and this forced concessions. It isn’t a coincidence that the US state has attempted to whitewash MLK Jr.'s historical legacy.
The state did not bend merely because it was the right thing to do, they bent because if they did not, they standed to lose more.