American influence has so dwindled in Iraq over the last several months that Iraqi lawmakers and political leaders say they no longer follow Washington’s advice for forming a government.

Instead, Iraqis are turning to neighboring nations, and especially Iran, for guidance — casting doubt on the future of the American role in this strategic country after a grinding war that killed more than 4,400 U.S. soldiers.

“The Iraqi politicians are not responding to the U.S. like before. We don’t pay great attention to them,” Shiite lawmaker Sami al-Askari, a close ally of Prime Minister Nouri al-Maliki, said Thursday. “The weak American role has given the region’s countries a greater sense of influence on Iraqi affairs.”

Vice President Joe Biden, the administration’s point man for Iraq, has doggedly lobbied Iraqi leaders, both on the phone and in six trips here over the past two years.

Iraqis, however, measure U.S. influence largely by its military presence, which dipped by threefold from the war’s peak to 50,000 troops in late August. As a result, Baghdad is now brushing off U.S. urgings to slow-walk a new government instead of rushing one through that might cater to Iran.

“The Iranian ambassador has a bigger role in Iraq than Biden,” said a prominent Kurdish lawmaker, Mahmoud Othman. He said the Americans “will leave Iraq with its problems, thus their influence has become weak.”

One problem which could worsen as a result is the sectarian divide — particularly if the secular but Sunni-backed Iraqiya political coalition, which won the most votes in the March election, is left out of a new Shiite-led government led by al-Maliki.