sophiecentaur, You are certainly correct that an Aircraft Carrier looks top-heavy from outward appearances. I learned a lot of new information while searching out this “Aircraft Carrier Stability” question.
Here is an excellent explanation of general hull design for stability:
http://www.rcwarships.com/rcwarships/nwc/stability.html
The British Royal Navy’s newest design:
Future Aircraft Carrier (CVF) Queen Elizabeth Class
http://navy-matters.beedall.com/cvf1-14.htm
The newest American Navy aircraft carrier design:
http://www.naval-technology.com/projects/george-h-w-bush/
Finally, this seems to be the main reason carriers behave the way they do…the “bilge keel” and it is used on the new GHWBush:
“When a ship rocks back and forth, it can make people seasick. Even worse, it can make it dangerous for jets to land on aircraft carriers. For these reasons and many others, it's important for engineers to design bilge keels (or fins) to keep boats from rolling back and forth. Become an engineer for a day and discover the best way to keep from rocking the boat in this engineering science fair project!
A bilge keel is usually a simple piece of steel on the bottom of a ship that is aligned with the direction that the water passes over the hull (see Figure 2, below, for a diagram of bilge keels and other types of keels). By aligning it this way, the bilge keel doesn't slow the ship down very much when it is traveling straight ahead. But when the ship begins to roll due to wind and waves, the bilge keels act like a plow through the water. The plowing action of the bilge keels generates a force that acts in a direction opposite to the rolling motion, and this force slows down the roll. The bilge keel only works when the ship is rolling and doesn't hurt the straight-ahead speed very much. Since it is just a simple piece of steel and doesn't have any moving parts, it is fairly inexpensive to build, too. Combine those benefits and you have an efficient way to design a better ship!”
http://www.sciencebuddies.org/science-fair-projects/project_ideas/Aero_p038.shtml