After reading Trip's post, I forgot about all the other ships in port that day, check-in & security at the airport ......... I don't see how you are going to make a 9:30am flight. There are always long line-up for check-in and security and even if you make it off the ship in time, you could be held up at the airport.
Have you checked flights out of Miami? If there is one leaving after 12pm, you might want to consider leaving from there.
If you can't get a flight out of Miami, then I would suggest staying overnight in Fort Lauderdale and taking a flight out the next day.
Whatever you decide to do, good luck.