Well, I am still somewhat believing that already by providing air cover a carrier would do a great job, although of course the points Gollevainen made are true.
Another interesting thing when talking about the loads came to my mind however, wouldn't it be possible to launch a strike-aircraft on minimum fuel, and then top it up with the buddy-buddy air refueling visible on the video? I mean, in order to make damage today you don't actually need that many weapons, the Argentineans sank two British ships with five missiles, although of course the Conveyor wasn't armoured.
That is something to remeber, although anti-missile defence have developed today, so have the missiles themselves, and even if the USN probably is though to beat, perhaps grouping several AEGIS-ships in a CVBG, the vast majority of countries still don't posses that capabilit).