On the bustling thoroughfare of Chinese immigrants that is Main Street in Flushing, Queens, countless people hand out fliers for massage parlors, calling cards, English classes, money-wiring stores and other services.

But one group of regulars that offers fliers from its daily spot is not commercially minded. Its message is an ideological one: to disparage Falun Gong, the spiritual and meditation movement founded in China. It’s a movement, Falun Gong organizers say, that has found its largest following outside Asia in Flushing.

The group denounces Falun Gong as a cult, and it incorporates this charge into its name: the Chinese Anti-Cult World Alliance. The alliance set up a small folding table in the …