If you're not doing A&E or 7DMT, there is absolutely no need to rush! 90% of the rope drop crowd is heading to one of those two.
Stay center court and enjoy the opening show, then stroll over to the park side of the left tunnel and watch the characters from the show come down the ramp and wave to you and the kiddos....
Then head over to Peter Pan - or Space Mountain, Or Big Thunder, or Splash... you'll be walking on or waiting 3 minutes for the first hour.