Thanks for the honesty, 'Seeker: it boils down to your opinion that Dr. King would have made a point of recording such a statement.
I can understand a person's holding that opinion, though I don't agree. I think it's possible Dr. King may have thought it was so obvious it 'went without saying'..... Since 'Zionism' is really only the affirmation of the Jewish People's right to self-determination in our homeland, and never included anything about 'occupying' or 'oppressing' anyone else, I can certainly see Dr. King figuring it was a given.
People who ascribe to 'Zionism' all manner of nefarious motivations and so on, are not going to be able to reconcile Dr. King's apparent support for the State of Israel with his life's work.
And that, imho, tends to support the veracity of the statement attributed to Dr. King.
I also wonder how anyone can so readily assume that the other people are either mistaken, or lying: are any of them known to be proven liars?