A push to make Dolan the guest of honor at the March 12 annual dinner for the New York State American-Irish Legislators Society was squashed amid internal controversy, multiple sources said. “Dolan was the first one mentioned to honor, given his recent ascension to cardinal, and originally it looked like it was leaning that way,” said one supporter of the idea. “It was a no-brainer. But some Assembly Democratic members are said to have balked because of the church’s vehement opposition both to same-sex marriage and a bill to extend the statute of limitations for past victims of sex abuse by priests. “It was clear there were certain members of the majority who would be unhappy and uncomfortable if the honoree was the cardinal,” a second member of the society said.