We just did this Dec. 23. If you get an early departure time you should be out of the terminal in 30 minutes. Plenty of cabs are waiting. You ride the shuttle and get your bags and walk out door 1 of the terminal. No customs or passport check. they had non-stop shuttles waiting, lined up and running continuously.
We had an 8:00 departure for a 9:30 car pickup and were out there by 8:30. People with the 11:30 flight to Miami had no problems. We were the only ship in port, though. If there are other ships I could see how it might be a real mess. It takes about 45+ minutes to get to the airport. It helps that Eclipse docks on Sunday, far less traffic.