We have cruised Majesty twice. The last time I decided I would take a chance on a 10.30am flight rather than wait all day. We docked at 0600, the ship was cleared by Customs at 0700, we had breakfast, did the self assist luggage, were off the ship by 0720 and were at our gate at MIA ready for our flight at 0810. Majesty is one of their smaller ships so easy to get off quickly.
If you get a taxi to MIA - fixed rate of $24 then get on SAS shuttle www.ridesas.com
over to FLL you should be fine for a 11am flight, email and ask them exactly what their schedule is, so you can have a realistic idea of whether it is practical - but providing you do the self assist -just hang onto your luggage and be first off the ship.
If not,well you have a plan B,right?