NEW YORK—The U.S. soccer team was plunged into public turmoil Wednesday when the family of former U.S. captain Claudio Reyna said it notified the U.S. Soccer Federation of a decades-old incident involving Gregg Berhalter and his wife in response to the coach’s disparagement of Claudio’s son, young star Gio Reyna. Berhalter said Tuesday his 1991…