What I will throw out there, is that foggy conditions are common in Galveston and be aware that if you are driving in or coming from somewhere and parking near the port, if there is a delay of a ship (any ship not just Disney) it can back up all the parking. We were on a cruise that was delayed by several hours returning to port due to fog and the traffic and lines of people waiting to fill those parking spots was tremendous. We were sufficiently frightened to not chance driving into port day of again (we live about 4 hours away). If you were trying to park it's conceivable you could miss your ship! Eek!
Other than the port not being super exciting, I can't think of anything about the port exactly.