What would a US carrier group do to stop a large group of Tu-160, Tu-22, Mig31 and similar aircraft armed with anti-ship missiles with ranges that in many cases exceed 1000km, and some of which are supersonic or even hypersonic?
If the carrier is several 1000 kilometer from land, maybe F35's flying CAP + any additional scrambled fighters may provide enough protection.
But the closer the carrier gets to land, the more vulnerable they may be.
What kind of missile would you use against these bombers, and at what distance?
Now keep in mind that the enemy can stay in the air for a while far within their friendly airspace, and then suddenly start a dash towards you at a speed of Mach2.
In cases like this, I would believe that having a few F-22 around (possibly from land based air bases in the area) would be a good addition to the fighters on the carrier, simply because the F-22 could much more easily dance with the enemy bombers as they were repositioning.