Yes, the Alabama had a minor list because of mud shifting after Hurricane Katrina. Also, there was some water accumulation in the hull. If there is a foot of rain from the hurricane on a 70 year old ship with hatches and seals not perfect so there will be some ingress of water. That is why ships have pumps.
That said the non-ship displays at the Alabama memorial caught hell. Many aircraft displays were wrecked and have not been restored. There is an old F-86L jet on display and the hurricane knocked loose the chin mounted rocket pack. I looked at the rockets, they have yellow bands, and either they were training rounds miss-marked or somebody screwed up big time. Anyway, the rockets are in such poor condition from the elements I doubt if they would fire if they are live. They are 60 year old 2.75 inch rockets. The salt water air is corroding the F-86 into a pile of junk.
North Carolina will be in fair shape after the hurricane. The Kingfishers and other displays will catch hell. The Kingfishers were fairly recently restored and they are somewhat priceless.
The only battleship I'd worry about getting wrecked in a storm is the USS Texas. That poor ship always seems to be one or two rusty hull plates failure away from sinking at her moorings.