Affiliate Marketing Secrets

Several examples come to mind. Three of the highest profile “muslim” extremists/terrorists presented to Americans on television are actually Jews:
“Adam Gadahn” is allegedly al Qaeda’s American spokesman. His real name is Adam Pearlman and his grandfather was on the board of prominent Jewish group “Anti-defamation League.”
“Abu Talhah al-Amrikee” is an apparent associate of the extremist “Muslim” website, “Revolution Muslim,” which threatened the creators of the program “South Park” in a very public and high profile manner. His real name is Zachary Adam Chesser. He is an Orthodox Jew who spent time in Jewish racial colonies in the Gaza Strip.
“Yousef Al-Khattab” is the alleged founder of the above reference “Revolution Muslim” website. His real name is Joseph Cohen, and he is an Orthodox Jew who spent most of his youth being educated in Orthodox Yeshivas.
So why are three of the highest profile “Islamic terrorists” actually Jews? Are they self-hating Jews? What are the odds that Al Qaeda and its affiliate groups would select three self-hating Jews out of all of the other authentic Muslim “extremists” purported to exist, as their primary public relations representatives in the United States? Was this done by al Qaeda on purpose?
This makes no sense to me! Help!