What she "recalled" is an urban legend. Martin Luther King, although a supporter of Israel, never wrote the "Anti-Zionism=Anti-Semitism" essay attributed to him.
This quotation has been confirmed, so you should feel assured that you can use the quotation in letters. Just be sure to mention that it came from Dr. Kings 1968 Harvard University appearance, so that no one will think it is from the debunked letter.
Martin Luther King, Jr. in a 1968 appearance at Harvard, where he said: When people criticize Zionists, they mean Jews, You are talking anti-Semitism. [ from The Socialism of Fools: The Left, the Jews and Israel by Seymour Martin Lipset; in Encounter magazine, December 1969, p. 24. ].