The weather was deteriorating, and it looks like it might have been better at Fort Lauderdale from the weather map. If you're suspecting an issue with the instrument approach equipment and you're low on fuel, you might want to divert to somewhere with better weather to minimize the likelihood of having to execute a second go around and getting in a situation where you don't have enough fuel for a diversion.
For instance, if they have enough fuel to get to Fort Lauderdale and the weather there allows for a visual approach, diverting there gives them a lot more options in the case of malfunctioning instruments.
I'm just a private pilot without an instrument rating, but this diversion doesn't seem crazy to me.
Masahiro Kikuno, a Japanese independent watchmaker, made a single piece [1] of a wristwatch design that displays wadokei time for a contest. I wonder if he used a similarly shaped gear, and can only imagine his piece (made in 2011) was inspired by the 2004 reverse-engineering of this clock.
For instance, if they have enough fuel to get to Fort Lauderdale and the weather there allows for a visual approach, diverting there gives them a lot more options in the case of malfunctioning instruments.
I'm just a private pilot without an instrument rating, but this diversion doesn't seem crazy to me.