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Though she was not speaking specifically about the Quinnipiac poll, Ms. Safah agreed with that theory.

“The unfortunate reality is that we’re all being linked,” she said. “We are all being backed into this corner with people saying, ‘You’re a Muslim — prove yourself.’ It’s unfortunate. It’s impeding upon our rights as Americans to worship freely.”

Plans for the Cordoba project must be approved by the New York City Landmark Commission, which will hold a public hearing Tuesday.

“The issue that is up for debate is whether the building has architectural, historic and cultural significance for New York,” said Lisi de Bourbon, the communications director at the New York City Landmarks Commission. “It’s strictly a matter of preserving the integrity of the building.”

Ms. Safah said there would be no misunderstanding if people only took the time to get to know their Muslim neighbors.

“If these communities maintain an open mind, I think we’ll more than get along fine and build great relationships,” she said.

Ms. Moriello said that will not be enough.

“In the end, it’s just us or them,” she said. “The sense that ‘we are all one and we are all working together’ is just not a reality.”