It sees the war in Syria as a battle between Sunnis and Shias and wants a Sunni-led Islamic state, but emphasises that its campaign is for Syria, not for a global jihad.
"We feel the Al Khailfas are defending their own interests, not Sunnis," says a member of the National Unity Gathering, a Sunni caucus.
The latest deal also offers a further clutch of mostly symbolic sweeteners for the Sunnis, stressing Iraq's unity and Arab character.The largest Sunni party, the Iraqi Islamic Party, now backs the document, though some influential Sunni outfits, such as the Muslim Scholars' Board, are calling for a no vote or a boycott.
The involvement of the regional Sunni powerhouses is designed to counter that narrative and assure Sunnis of alternative means of support, despite the near collapse of governance across the Levant states of Iraq, Syria and Lebanon.
The 55 drafters included 15 Sunni Arabs, along with a further ten Sunni Arab "consultants", recruited in the hope of bringing more Sunnis into peaceful politics and undercutting the insurgents.
Filiu says Isis is winning because, unlike the west, it has a strategy – and it has galvanised many young Sunnis.
International support for Hayder al-Abadi's new government in Baghdad was probably the most important message of the event, amid hopes that it will prove less sectarian than its predecessor – and thus better able to rally alienated Sunnis to confront Isis.
Ethnic, sectarian and regional tensions erupted with the occupation of Iraq and the increasing polarisation of Sunnis and Shias in the region.
Protecting the interests of Iraqi Sunni co-religionists was problematic given the complexity of the Iraqi scene and the presence of al-Qaida, which also presented itself as a defender of the Sunnis.
For these men, the Sunnis as a whole are the enemy, regardless of whether they are Isis supporters or not.
It is attacks like these that have persuaded large numbers of ordinary Sunnis who live in the vast spaces between Baghdad and Damascus to side with Isis.
