there are quite a few lines that go there! i've never taken public transport there but it seems like a lot of people come up on buses, esp. tourists from abroad (who knows how people in japan hear about woodbury commons!!! but they make it there!). i went there this past weekend (see my post in your other thread).
The key to shopping there is to not go on the weekend. Because that is when the bus trips go. There are tons of people, the lines are outrageously long and you can't get through the stores, let alone have a good shopping experience. On weekends there are always slim pickings anyway. See if they have bus trips on weekdays, if so, I can't imagine that it would be too bad.
Dot, they actually advertise in Japan. People come from across the globe to go to woodbury.