NEW YORK (CNN/Money) - Amid Disney's previous objections, Michael Moore's film "Fahrenheit 9/11" is scheduled for release next week, but the movie that criticizes the Bush administration's policies in the wake of the Sept. 11 attacks faces another challenge.

A conservative organization called Move America Forward, formed in May to rally support for U.S. troops and the war on terror, has asked the public to call and e-mail executives at theater chains scheduled to show the film, according to Variety.com.

"Michael Moore has the right to free speech," said MAF Chairman Howard Kaloogian, according to Variety. "But so do millions of Americans who find his anti-military propaganda and attacks on our troops offensive."

The group has supplied phone contacts and e-mail addresses for executives at national and local theaters where Moore's film is scheduled to play.

Despite the calls to pull the film, any attention "Fahrenheit 9/11" receives is likely to boost its already high profile. The film won the top prize at the Cannes Film Festival this spring.

"One of the most important lessons everyone can take from 'Fahrenheit 9/11,' whether they support the war in Iraq, oppose the war or are undecided, is that we need less censorship in this country, not more," said Tom Ortenberg, president of Lions Gate Releasing, which is distributing the film, according to Variety.

Previously, the movie was scheduled to be released by Disney's Miramax unit, but the entertainment conglomerate balked at the release amid the film's critical content.

The movie will now be released though Lions Gate, IFC Films and the Fellowship Adventure Group, which is run by Miramax founders Bob and Harvey Weinstein.