“Every time that once again takes over the headlines we once again bow our heads in shame,” the archbishop said. “We know what you’re going through, and you can count on our prayers.”

The bishops are struggling to reclaim the role they played in the 1980s and into the ’90s as a nationally recognized voice on the moral dimension of public policy issues like economic inequality, workers’ rights, immigration and nuclear weapons proliferation. Since then, however, they have reordered their priorities, with abortion and homosexuality eclipsing poverty and economic injustice.

But as the sexual-abuse scandal largely overshadowed their agenda in the last decade, their pronouncements on politics and morality have been met with indifference even by many of their own flock. The bishops issue guidelines for Catholic voters every election season, a document known as “Forming Consciences for Faithful Citizenship,” which is distributed in many parishes. But the bishops were informed at their meeting on Monday that a recent study commissioned by Fordham University in New York found that only 16 percent of Catholics had heard of the document, and only 3 percent had read it.

Nevertheless, the bishops remain a forceful political lobby, powerful enough to nearly derail the president’s health care overhaul two years ago over their concerns about financing for abortion. Last week, the White House, cognizant of the bishops’ increasing ire, invited Archbishop Dolan to a private meeting with President Obama, their second. Archbishop Dolan said they talked about the religious liberty issue, among others.

“I found the president of the United States to be very open to the sensitivities of the Catholic community,” Archbishop Dolan said in the news conference. “I left there feeling a bit more at peace about this issue than when I entered.”