BEIRUT/BAGHDAD (Reuters) - U.S.-backed Syrian fighters have surrounded the Islamic State-held city of Manbij from three sides as they press a major new offensive against the jihadists near the Turkish border, a spokesman for the fighters said on Monday.

But in a sign of the difficulty world powers have faced in building a coalition to take on the self-declared caliphate, the slow pace of a separate assault by the Iraqi army on a militant bastion near Baghdad caused a rift between the Shi’ite-led government and powerful Iranian-backed Shi’ite militia.

The simultaneous assaults on Manbij in Syria and Falluja in Iraq, at opposite ends of Islamic State territory, are two of the biggest operations yet against Islamic State in what Washington says is the year it hopes to roll back the caliphate.

The Syria Democratic Forces (SDF), including a Kurdish militia and Arab allies that joined it last year, launched the Manbij attack last week to drive Islamic State from its last stretch of the Syrian-Turkish frontier. If successful it could cut the militants’ main access route to the outside world, paving the way for an assault on their Syrian capital Raqqa.

Last week Iraqi forces also rolled into the southern outskirts of Falluja, an insurgent stronghold 750 km down the Euphrates River from Manbij just an hour’s drive from Baghdad.

The SDF in Syria are backed by U.S. air strikes and a small contingent of American special forces. The Iraqi army is also backed by U.S. air power, as well as by powerful Iran-backed Shi’ite militia led by politicians who have emerged as rivals of Prime Minister Haider Abadi.

In Syria, the government of President Bashar al-Assad also launched a separate offensive last week against Islamic State, with Russian air support.

The assaults by Islamic State’s disparate enemies on a variety of fronts have put unprecedented pressure on the group, although its fighters have put up strong resistance so far.

The offensives have also put large numbers of civilians in fresh peril. The United Nations estimates 50,000 civilians are trapped in Iraq’s besieged Falluja, and more than 200,000 are at risk of being displaced by fighting around Syria’s Manbij.

RACE TO RAQQA

The Syrian Observatory for Human Rights, a British-based group that reports on the war, said the U.S.-backed forces in northern Syria had cut the road north from Manbij to Islamic State-held Jarabulus at the Turkish border.

Slideshow ( 3 images )

Sharfan Darwish, spokesman for the SDF-allied Manbij Military Council, said the U.S.-backed alliance had advanced to within 6 km (4 miles) of Manbij, and the attack was going to plan. More than 150 jihadists had been killed, with 50 of the bodies in SDF hands, he said.

Homes being used by Islamic State members were now empty as they had left with their families, he said: “They took everything they could and left the city.”

Reuters was unable to verify the account, and Islamic State fighters could not be reached.

The SDF included the commander of one of the groups, Faysal Abu Layla of the Sun of the North Battalions, who died of wounds caused by a mortar bomb, Darwish said.

The Observatory said 56 Islamic State members and 19 SDF fighters had been killed so far. It also said Islamic State fighters had sent their families out of Manbij, but did not confirm Darwish’s account that fighters themselves had left.

The Syria fight against Islamic State is taking place in the midst of a multi-sided five-year civil war that has killed hundreds of thousands and made millions homeless.

Russia and the United States, both enemies of Islamic State, support opposing sides in the wider conflict and are leading separate air campaigns. They have cooperated since last year on diplomacy to end the wider war, largely fruitlessly.

The SDF and its Kurdish faction have proven to be the first U.S. allies on the ground in Syria that are effective against Islamic State, and have been bearing towards the militants’ Syrian capital Raqqa. The Syrian government has also been advancing in the area with Russian support, in what some of its allies call a “race to Raqqa” to prevent U.S. allies from dominating territory won from Islamic State.

Warplanes believed to belong to Russia or the Syrian army killed at least 17 people in an air raid on a market in an Islamic State-held town in the eastern province of Deir al-Zor on Monday, the Observatory reported. The province links Islamic State’s Syrian territories with its Iraq strongholds further down the Euphrates. Moscow denied its planes had flown in the area near the reported strike.

A Syrian military source said the army had captured a crossroads in its latest offensive, from which it could advance towards Raqqa, Deir al-Zor or eastern Aleppo.

Slideshow ( 3 images )

BAGHDAD SHIFTS BRIGADE TO MOSUL

In Iraq, Washington’s main target is Mosul, a northern city that held 2 million people before it fell to Islamic State two years ago. U.S. planners hope Mosul can be taken this year by a combination of Iraqi government forces and security forces from Iraq’s Kurdish autonomous region.

But the Shi’ite-led Baghdad government veered from the plan two weeks ago with the announcement that its next offensive would be just west of Baghdad in Falluja, a Sunni bastion where U.S. troops faced the bloodiest battles of their own 2003-2011 occupation.

Iraqi army troops poured into a rural district of Falluja a week ago, but halted at the outskirts of built-up areas, with Prime Minister Abadi saying the assault would be slowed to protect civilians.

Shi’ite militia criticized Abadi’s decision to slow the advance. They say Falluja is a more urgent target than Mosul because of its proximity to the capital, where a campaign of suicide bombings has escalated in recent weeks.

Washington worries that the Iraqi army could become bogged down in Falluja and a protracted battle there could worsen sectarian hostility, especially if the Shi’ite join the fight.

Abadi depends on powerful politicians linked to the militia for his ruling coalition. He has tried to remove some from senior government posts, but faces resistance in parliament.

The head of the largest militia, former government minister Hadi al-Amiri, criticized the army for moving a brigade to an area near Mosul while the battle for Falluja was still under way, saying the decision was taken under U.S. pressure.

“Unfortunately there is an absence of precise planning for the military operations,” said Amiri, who leads the Badr Organisation. “I believe that sending a large number of armored vehicles and assets to Makhmour, under the pretext of the Mosul battle, is a betrayal of the battle for Falluja,” he told Al-Sumaria TV.

Iraqi army officers confirmed a brigade had arrived on Sunday night in Makhmour, a staging point for a future assault on Mosul. Troops would prepare for an offensive to take an airfield across the Tigris River, and bridges and boats had been brought to facilitate the crossing.

Iraqi armed forces spokesman Brigadier General Yahya Rasool told Reuters the mobilization near Mosul would not subtract from the campaign in Falluja.

“The forces allocated to Falluja are achieving victories and we have started moving towards the city center.”