From Babylon to Woodside then take subway from Woodside 61st Subway to Mets willets point.
Couldn't you take LIRR from Babylon to Woodside, then Woodside to Mets-Willets Point on the Port Jefferson line of the LIRR? It's a 7 minute ride. Taking the subway works, but it takes a lot longer, and you're already on the LIRR.
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