Aircraft Carriers Are Sitting Ducks

[haele]

32. US Navy has some pretty good defenses against wave skimmers.

Both on, under, and above the water.
There's also the laws of physics, especially ballistic physics, that even super-sonic missiles have to follow.
Now, an ICBM aimed at a carrier task force is more problematic to a carrier task force, as many military folks on unclassified YouTube have indicated, most countries are changing up their MIRVs to contain both decoys and active warheads to overwhelm defensive forces on the cheap.
However, there are methods to take out the ICBM before it hits apogee, and before it can deploy a supersonic payload.
And I'm also pretty sure there's all sorts of keyholes watching Iran.
So, not so worried about carriers from the size missiles that could seriously damage or sink a carrier. Maybe a smaller air-launched weapons like Silkworms (which Iran already has), but those won't sink a carrier.