Shiite leader Grand Ayatollah Ali Sistani says only government forces should be allowed to carry weapons.
But their irritation is nothing compared to that of the country's leading Shia authority, Grand Ayatollah Ali Sistani.
Grand Ayatollah Ali Sistani, the leading Shia cleric, has called for direct elections in Iraq by the end of June, sparking numerous demonstrations.
These people are not even listening to Iraq's most prominent Shia cleric, Ayatollah Ali Sistani, whose repeated calls for restraint have been ignored.
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Grand Ayatollah Ali Sistani was forced to flee Iraq after being challenged for leadership of the Shias by Moqtada Sadr, who is just 22.
So is this sort of setting up a confrontation between Ali Sistani, Grand Ayatollah Ali Sistani and Muqtada al Sadr, who is very powerful politically?
Among most middle-class Iraqis the voice of Ayatollah Ali Sistani, a champion when he deigns to utter political thoughts of peaceful elections, counts for more than Mr al-Sadr's.
An aide to Iraq's most senior Shia cleric, Grand Ayatollah Ali Sistani, called on both the Americans and Mr Sadr's militiamen to stop fighting and leave the city.
The Shia Muslims' most influential cleric, Grand Ayatollah Ali Sistani, has confounded Mr Bremer's plans for appointed caucuses to choose an interim national assembly, insisting instead on direct elections.
However, the possibility that Kurds could veto a permanent constitution seems to have caused Ayatollah Ali Sistani, a powerful Shia cleric, to have second thoughts about the interim document.
However, these may have been too much for Ayatollah Ali Sistani, a powerful Shia cleric who according to Associated Press reports seems to have been behind the last-minute objections from Shia members of the Governing Council.
It also could help the United States deal with opposition from major Iraqi Shiite leaders, including Grand Ayatollah Ali Sistani, whose supporters by the tens of thousands staged a large protest Thursday in Basra and smaller ones in several other cities.
Many of them, including their highest religious authority, Grand Ayatollah Ali Sistani, put the blame for defiling those holy sites fairly equally between American troops and the militiamen of the Iraqi Shias' rebel leader, Muqtada al-Sadr, who is wanted for the murder of another Shia cleric.
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But Grand Ayatollah Ali al-Sistani, Iraq's most influential Shia cleric, is a stickler for democratic form.
But it has the blessing of Iraq's most powerful cleric, Grand Ayatollah Ali al-Sistani.
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Grand Ayatollah Ali al-Sistani has played a vital role in this, but every bomb makes his job harder.
Grand Ayatollah Ali al-Sistani, Iraq's most influential Shia cleric, had played a notable part in creating the Alliance.
Najaf is the seat of the Shiite clerical establishment and home of its foremost religious leader, Grand Ayatollah Ali al-Sistani.
Mr Sadr's followers subsequently laid siege to the house of Ayatollah Ali al-Sistani, a senior cleric regarded as a moderate.
Grand Ayatollah Ali al-Sistani, Iraq's most influential Shia cleric, has issued a fatwa compelling the faithful to cast their ballots.
Grand Ayatollah Ali al-Sistani is the leading Shiite religious figure in Iraq.
Just before the attack on Fallujah, his followers quietly announced they had joined a pan-Shia electoral alliance sponsored by Iraq's foremost cleric, Grand Ayatollah Ali al-Sistani.
Grand Ayatollah Ali al-Sistani, Iraq's most influential Shia cleric, has restrained the hands of the most militant of the armed Shia groups, such as Muqtada al-Sadr's Mahdi Army.
The same could perhaps happen again, although the absence of Ayatollah Ali al-Sistani, the most revered Shia cleric, who is in London seeking medical care, will make it harder.
But they will have to convince, among others, the spiritual leader of Iraq's Shia Muslim majority, Grand Ayatollah Ali al-Sistani, who has thus far insisted on full democratic participation.
This appeared to be aimed at Iraq's most influential Shia cleric, Grand Ayatollah Ali al-Sistani, who had called for protests on Wednesday though he also urged restraint and said mosques should not be targeted.
Most of the main Shia parties now endorse the draft, as does the most influential Shia religious leader, Grand Ayatollah Ali al-Sistani, though a radical preacher, Muqtada al-Sadr, has offered no clear guidance.
Ayatollah Najati - who represents Iraq's renowned Shia cleric Grand Ayatollah Ali al-Sistani - and his family had not obtained their Bahraini passports "through the appropriate legal means", Bahrain's interior ministry said in a statement.
Mr Chalabi, who has close relations with the Grand Ayatollah Ali al-Sistani as well as Muqtada al-Sadr, a militant cleric, helped broker the Shia alliance that dominated last January's election and helped draft the new constitution.
Ali al-Sistani, a Najaf-based ayatollah who is probably the most widely revered scholar among the world's Shias today, has stated that in order to be legitimate such a ruler should win acceptance from a majority of believers.
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