Defenseman Lubomir Visnovsky, who made his Islanders debut, and forward Josh Bailey made their debuts.
Kenny Dalglish recalled Lubomir Moravcik to the side in the place of the injured Mark Viduka.
Further Leeds players could also be away that week as centre-back Lubomir Michalik is on standby for Slovakia.
Lubomir Visnovsky earned an assist on Moulson's second goal for his first point with the Islanders in his second game.
It was a shot into an open net after a cross-ice pass by Lubomir Visnovsky found its way through a crowd to him.
Lubomir Visnovsky, a defenseman acquired from the Anaheim Ducks, took his time reporting to the team after the NHL lockout ended last month.
The trio, who previously lived in Daisy Hill Road, Bradford, fled the country in March 2008 after the gang's leader Lubomir Kora was arrested.
New York's Josh Bailey had scored the go-ahead goal 14 seconds into the second period, and Lubomir Visnovsky extended the Islanders' lead to two goals.
Unknown Slovakians Lubomir Michalik and Zoltan Harsanyi came in for nothing.
But goals from Lubomir Visnovsky and Michal Handzus in the third period ensured the fanatical home supporters were on their edge of their seat during the closing minutes.
BBC: Canada set up ice hockey final clash with United States
Veteran broadcaster and writer Lubomir Doruzka tells how a guitar player was arrested by the Gestapo and sent to a concentration camp for singing a chorus of Louis Armstrong's "Super Tiger Rag".
The Pittsburgh captain, still wearing a cumbersome mask to protect his broken jaw, took a pass from teammate Jarome Iginla at center ice then effortlessly split New York defenders Lubomir Visnovsky and Thomas Hickey.
The Islanders will be even further above the cap floor with the imminent return of defenseman Lubomir Visnovsky, who reported to the club for the first time on Wednesday and then passed a physical on Thursday, which led to New York lifting its suspension and placing him on the active roster.
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