The 1:30 flight shouldn't be a problem. Like Peter stated, after you get your bags, just go outside to the taxi stand. Taxis are lined up and waiting, as they know what days that ships unload. It's about a 10 minute ride to the Fort Lauderdale Airport from Port Everglades.
2007 - Majesty of the Seas (Bahamas)
2009 - Enchantment of the Seas (Western Caribbean)
2010 - Freedom of the Seas (Western Caribbean)
2013 - Golden Princess (Alaska, roundtrip from Seattle)