The call comes after an intoxicated Gibson launched a verbal attack on sheriff's deputy James Mee after he was pulled over for drunk driving on Friday near his home in Malibu, California.
According to reports, Gibson said to his arresting officer, "F***ing Jews. The Jews are responsible for all the wars in the world." He then asked the deputy, "Are you a Jew?"
Gibson issued an apology on Saturday and a retraction of his remarks, which were reportedly captured on tape.
The U.S. Jewish Anti-Defamation League said that the apology was not enough and that Gibson should be ostracized by his peers.
The group's national director Abraham H. Foxman said, "It appears that the combination of liquor and arrest has revealed his true character.
"We believe there should be consequences to bigots and bigotry. One way to combat bigots is to put a price on bigotry.
"I would hope that if this is in fact true, that his colleagues condemn him and distance themselves from him."
Gibson's comments come at a critical time in the Israeli-Lebanese hostilities, with Secretary of State Condoleeza Rice in Jerusalem trying to broker a ceasefire.
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