SASless, it is my estimation that the USN Carrier battle group is there to deter Iran, Syria, and anyone else from jumping in to support Hamas. Could be wrong, but that's how it smells to me. As I look at the geography, I don't see a practical use of the naval assets for missile defense, but there are ample platforms that can be on task keeping eyes on things around the clock.
Way back when SH-60B (not the current MH-60R) was my steed, we spent ample time flying about with Mk 1 eyeballs, Radar, and ESM/EW sensors as our sole reason for being airborne. The current version birds have some better kit.
Not sure if they carry Hellfires, will check.
EDIT:
Yeah. The Hellfire mod came along while the B was still in service. R's have that capability.