Father Mychal Judge was killed at the World Trade Center, but his efforts to help people living with HIV could earn him sainthood.
Parents had also complained he was "pushing an agenda" to "make their children gay."
From the start of the investigation, police were suspicious about the man and his claims.
Police are now investigating the incident.
Video of the incident went viral on social media.
The skit used antigay slurs and outraged both the audience and organizers.