The Council on American Islamic Relations in Washington is asking the nationally syndicated personality, who calls herself "Dr. Laura," to apologize for her Nov. 17 program.
The council said it received complaints from Muslims who said Schlessinger's remarks crossed the line from legitimate commentary to bigotry.
Her comments were in response to a mother who asked whether her 16-year-old daughter should take part in a field trip to a local mosque.
The council said Schlessinger responded, in part: "This is a class on morals? What is the point of going to a mosque?... This is despicable. ... What culture and what religion were all the murderers of 9/11 ... they murdered us. ... That's the culture you want your daughter to learn about?"
Ibrahim Hooper, a spokesman for CAIR, said, "Dr. Laura's anti-Muslim tirade demonstrates a level of hostility toward Islam that should be of concern to her program's audience and sponsors."
Premiere Radio Networks Inc., which syndicates the program, had no immediate response