I think you could do this - it would be crazy, but I think it *might* be possible.
Does any park have the Extra Magic Hour while you are there?
OK - Say MK had the EMH - Park hours are probably 9 -7, which means you can get in at 8:00 am. You can do Space Mt, and the Tea Party. Then you can do Buzz, Alladin, Barnstormer and Splash. Assuming lines are good I would think you would be done by 11:00. Grab counter service to go on your way out of the park.
I don't think I would rely on Disney Transport either since you are on a time crunch.
I would go to AK next since they close early. Even though you want to do 3 rides, you want to do 3 popular ones. It might take you longer than you think. I would go to the Safari and check on the Fastpass situation. You might be able to stand inline for It's tough to be a bug while waiting for your fastpass. There might be a long wait for Kali too, depending on the weather.
It's hard to say how long it could take you at AK. You might be able to get out of there at 3:00?
MGM - check FP for RnR right away, you might be out of luck on this one though, depending on the crowds. You'll need to check the times for Millionaire (I think kids can go in) and Drew Carey - Sound Dangerous to see what times those are.
MGM should be open until 7pm the time you are going, right?
You'll be exhausted! Bring a backpack with you with water and snacks in it so you don't have to stop a lot for both of those things.
Granted - I'm just guessing about this stuff. I've never tried to do anything close to what you are doing. I just know that we've had good luck with getting a lot of stuff done at MK on an Early Entry day!
Good Luck! You'll have to let us know how this goes!!
Tamie