somewhere I read the USA had 14 air craft carriers, or the correct number is 11?
Sinking a carrier won't deter retaliation for sure, but it would be a great loss for the USA.
Somebody either miscounted or mistaken for an amphibious ship for an aircraft carrier. It may be a great loss but we have been used to losing carriers before. In any case the U.S. Navy was preparing for a possible conflict against the Soviet Union during the Cold War and the aegis system was built against possible attack in a scenario where they are saturated by aircraft and missiles. This is nothing new to them. Same method different enemy. Hence the reason for carrier battle group to handle submarines, aircraft, missiles, etc.