Zeid Raad al-Hussein, the first human rights chief from the Muslim and Arab worlds, yesterday spoke as French Foreign Minister Laurent Fabius chaired a special meeting on the abuses in the Middle East on ethnic and religious grounds.
Both said the Security Council should refer the situations in Iraq and Syria to the International Criminal Court.
Fabius later told reporters that the Islamic State group itself, "these criminals," should be referred to the ICC.
The rights chief, who is from Jordan, did not name any governments in his criticism. He said the Islamic State may be more accepting of ethnic diversity of its members so long as they adhere to the group's world view, even while the "intricately interwoven social fabric in Syria and Iraq is giving way to the demented obliteration of any difference" from IS ideology.
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"Ordinary citizens are wondering how so many countries gathered here together, who call themselves the 'United Nations,' have so far been unable to tackle terrorism and eradicate it," Fabius said.
The Islamic State group also has demolished relics and pillaged archaeological sites in both Iraq and Syria, and Fabius said "cultural genocide should be included in the scope of crimes against humanity."