Ken
Of the " high altitude heavy bombers, torpedo bombers, dive bombers, kamikazes, land based jet aircraft, nuclear weapons, biological weapons, EMP weapons, nuclear submarines, air independent submarines, anti-ship cruise missiles, super sonic anti-ship cruise missiles, anti-ship ballistic missiles" how many have actually been targeted at a carrier since 1945?
Land based jet-aircraft & anti-ship cruise missiles - in the Falklands - and that's it. And they were enough to give the RN a serious attack of the vapours
The rest have never been used - I suspect that the USA would not take kindly to anyone nailing a CVN so unless you are very small, or intend to kick off a major war you stay clear of them - but that doesn't make them invulnerable