Lawrence-
Yuo are looking at around a 45 min drive from Winged Foot, maybe less at certain times of the day maybe more. Your also looking around a 30 min drive to Bethpage, assuming no traffic.
If you take the Southern State Parkway, and then go Montauk Highway RT 27, you can get out to Southampton in less than 2 hours when the time is right. But if you are heading east from 6:30am till around 9:45am, your in big trouble, theres a bottle neck around the Shinnecock Inlet and youll be stuck for a long time in a short distance. Stay away from Friday evenings.
One of my favorite spots on Long Island to play golf is the Seawane area. Rockaway Hunt is one of the most underated courses on Long Island, IMO. (For pure enjoyment alone)
-Mike