Kansas City jumped past both Houston and Montreal and moved into first place in the Eastern Conference with 14 points (4-1-2) in seven games.
Collin scored on a header off a corner kick, beating Luis Robles with a ball that found the top right corner of the net.
Jimmy Nielsen made three saves to record the shutout.
New York (2-4-2) remained tied with Philadelphia for fifth place in the East.
Notable deaths of 2014 [PHOTOS]
Arizona Cardinals player formally charged