I was on the radio with Joan Peters' in 1984. The show ("Night Talk" on WOR-AM) was taped in either in the summer or early autumn at Cinema Sound on the West Side. It aired, if I recall correctly, in late October 1984. By that time, I had written my own piece on her book for JPS. Unfortunately, JPS did not manage to publish its Autumn 1984 issue until well into autumn (perhaps even December 1984).
Peters did not seem to know what was in her own book. She responded to my challenges to her demographic claims with gibberish. A few years later, I spoke by phone with someone who had been her researcher during some of the time she worked on the book. He was surprised that it had been published. He confirmed that she wanted to attack Palestinian claims. However, Peters wanted to write as if she was embarrassed by her findings.
Unfortunately, I do not remember his name nor do I remember the name of the woman who told me about him. However, Norman Finkelstein knew her. He may remember who she was.
BTW, the most important piece exposing Peters was Anthony Lewis' op-ed in the New York Times in January 1986. After that piece, many people suddenly told me that they had known all along that Peters was a fraud.
If I may be a bit self-centered, Lewis' piece mentioned my piece, as did Porath (at least in the footnotes); as did Said; as did Charles Glass; and as did Alex Cockburn. Curiously, Mondoweiss never does. No doubt, they are just protecting me.