I've been twice and have done two different things:
The first time was our honeymoon in 95; we took a red eye from the West coast and it was horrible- a 3 1/2 hour layover in Chicago, at 3:00 AM to 6:30 AM. (I didn't make the reservations- my mother in law did- what was she thinking!!!!!!!!!) We arrived at the Wilderness Lodge around 1:30 and we went to Epcot around 3:00. Bob and I were completely zoned out and I hardly remember a thing. We ate dinner at Teppanyaki. What I learned- I can't handle a red-eye flight, esp. one with a layover!!!
We went last month and had our two young boys in tow...we had an EARLY flight- left at 6:25 AM and arrived at the Contemporary around 4:30. We checked in, unpacked and went to Chef Mickeys. Again, not something I would do again. It was just too noisy and chaotic for us being so tired. Next time, if I have the kids, I will choose to unpack, grab some casual food and maybe hit the pool or hotel shops, explore the resort and go to bed. Coming from the West coast is just really tiring for us and to try and do anything taxing is too much!! I am planning a trip with just my Mom this October and we may go to Cape May Cafe our first night. I think it will be entirely different traveling solo, with no kids---I may actually have a bit of energy when I arrive at WDW!! Sidenote---I will try Chef Mickeys again, but on a night when we are energized. I liked the food and the boys LOVED the characters.