New York’s St. Patrick’s Day Parade capitulates in a two-decade-long dispute with gay groups. One of New York City’s longest-running civic and political battles came to an end this week, not with a bang but a whimper. The organizers of the New York City Saint Patrick’s Day Parade announced that they would allow the Lavender and Green Alliance—a group composed of gay, lesbian, and transgender people of Irish descent— to participate in the annual march up Fifth Avenue. The group’s application to join the parade had been denied every year since 1994 due, parade organizers said, to its advocacy of...