Ilya Sorokin stopped all 23 shots he faced Friday night and the struggling New York Islanders snapped a pair of lengthy droughts by defeating the Detroit Red Wings 2-0 in Elmont, N.Y.Anders Lee scored in the second period and Brock Nelson added an insurance goal in the third for the Islanders — their first third-period goal in 11 games dating back to Jan. 3, when New York scored three times in the final 20 minutes of a 6-2 win over the host Vancouver Canucks.The win ended a six-game losing streak (0-4-2) for the Islanders, who are 3-8-3 this month. New York entered Friday six points behind the Pittsburgh Penguins in the race for the final wild-card spot in the Eastern Conference.The shutout was Sorokin’s fourth of the season and the 14th in 109 career starts. Kyle Palmieri assisted on both goals.Magnus Hellberg recorded 26 saves for the Red Wings, who sit in 12th place in the East in the East.After a scoreless first period, the slumping Islanders notched their first goal in quirky fashion 4:44 into the second.