In addition, do not forget that each carrier also carries two 8 cell Sea Sparrow missile launchers and three Phalynx CIWS.
And all of that, including the RAMS are just last ditch point defenses for leaker missiles that get through th much more substantial protecting provided by three AEGIS vessels (usually one cruise and two destroyers) each carrying over 100 missiles themselves to engage enemy missiles and aircraft with.
Better still, supplement the Avenger HUMMVW-based SAM with a Sidewinder-based system. Longer range, I think, than Stinger.