Premier Mike Baird has publicly reprimanded the chair of the NSW Community Relations Commission, Vic Alhadeff, over "inappropriate" remarks that accuse Palestine of war crimes and appear to gloss over Israeli violence.

But critics say the rebuke to Mr Alhadeff, who is also chief executive of the NSW Jewish Board of Deputies, does not go far enough and say he should be removed from the government-appointed position.

The dispute has laid bare the deep fissures between Sydney's Arabic and Jewish communities, and raises questions over Mr Alhadeff's dual roles, which require him to both support the Jewish cause and promote community unity.

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