Agree with @starvenger with weekend and self-disembark. Weekday, I likely wouldn't chance it with morning rush hour.
Get off the ship ASAP with all your luggage and get the Uber/Lyft before everyone else orders one. We have done it several times from Port Everglades for a 11am flight, and had over 2 hours of time to relax in the Sky Club. It's a 35-40 minute ride from Miami port to FLL, you should be fine.
Our last cruise out of Miami, we made a 9:30 am flight out of MIA. The day of the week will matter for the traffic but if you are departing at noon you should be fine. Just plan on self-disembark, unless you are sailing star class.
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