Traffic is a nightmare on 95 all day every day of the week especially if you are not in the express lanes. The typical rush hour here begins at 1:00 PM - 2:00 PM not in the evening. There's also no really feasible alternatives if 95 is backed up heavily. All other highways require a significant amount of backtracking to get back east to FLL.

Your connection is doable if you want to do B6 provided that 95 is okay, and iit's not one of those days where the security line stretches down the ticketing hall, which is a common occurrence.

IMO children's preferences should take a backseat to practical travel plans.

-LPDAL