For our trip in Nov/Dec, 2001, our flight arrived at 12:20 AM, so by the time we arrived at the All Star Movies, it was almost 1:00 AM. I had already let them know we'd be checking in late and it was no problem at all! The front desk CMs were very nice, and we even got 101 Dalmations - which my little one was hoping for!
Enjoy your stay!!!