http://www.broward.org/Airport/Fligh...MyAirline.aspx
Check this link to see where your connecting airlines and flights are. If they are within the same terminal, you won't have any issues. If, for some reason, you have to connect to an airline in a different terminal, it looks like you will have to clear security again. Someone correct me if I'm wrong. I've only been in there a couple of times.
And yes, their website it terrible.