New Jersey week starts on October 30th and runs through to November 7th. Kids go back to school on the November 8th so parents have to be home by then.
We were there in 2009 and I think that the whole 'NJ week' thing is a myth. I didn't hear other NJ accents (besides our own) and the place was deserted. I took movies of empty parking lots from the monorail.
You can't beat Disney in November. Hurricanes are all gone, still warm enough to swim, crowds are low and when you get home, the holidays are around the corner so you have something more to look forward to.