Wrong, child.
Over-the-horizon radar systems are large in antenna array sizes, such as tens of meters or even hundreds of meters across, making them easy to target and damaged. No need to destroy, just a few bombs across the array face and the entire system is done for.
As for the warhead itself, not one of you can coherently explain what is 'terminal guidance' despite your casual use of the phrase. So until you conscript rejects can show us a credible source on what is that 'terminal guidance' and steerage mechanism, all you have is a wet dream that the DF-21D is a 'carrier killer'.
Please allow me to intrude in this discussion..
China has the most advanced air-defences in the world along with Russia.
These radars are likely to be very well protected(Fighters, AWACS and both long and short rage SAMs) and will be hundreds of miles deep into China from it's coast.
How will any plane and or bomb/missile penetrate these air defences?
And, surely China will have build up much redundancy into the whole detect/track/kill chain that it would be such a monumental task to degrade it to an extent that the DF-21D is no longer a threat to US Navy.