You would be about a 15 minute drive from Bobbique.
Six miles, according to Google Maps:
Good reviews from the NY Times)
and the Long Island Press
Fine dining is scarce within 10 miles of Islip MacArthur Airport, just diners, Applebees and the Ocean Ave Steakhouse (not recommended). I've had pretty good Italian at Cafe La Strada just south of the LI Expressway at Exit 56--Route 111 (I've seen kids there).
Teller's Chop House on Main St.,. Islip, is good, pricey, but I am not sure about kid friendly. Same goes for the same owners' seafood-sushi restaurant, H2O ,in Smithtown--about the same distance,