NEWARK — The word “pilgrimage” usually evokes visions of far-off, exotic places, but for some 100 gay and lesbian Catholics and their families, a pilgrimage to the Cathedral Basilica of the Sacred Heart here on a recent Sunday was more like a homecoming. The doors to the cathedral were opened to them, and they were welcomed personally by the leader of the Archdiocese of Newark, Cardinal Joseph W. Tobin. They were seated on folding chairs at the cathedral’s center, in front of the altar in the towering sanctuary, under the blue-tinted glow of stained glass. “I am Joseph, your brother,”...