Is this approach a good idea?
I believe your encryption method is to use Kyber to generate a shared secret (using the decryptor's public key), and send that shared secret through a KDF, and then use the result for some symmetric AEAD.
That sounds reasonable; Kyber is "CCA secure", that is, using the same public key multiple times is not an security issue.
Why don't more people do this?
Kyber is fairly new - I suspect that if more people want to do public key encryption using Kyber, this is the sort of thing they'll do.
Now, comments on your terminology (which I believe caused some confusion):
There are (at least) two meanings of hybrid, which may be causing some confusion. They are:
Using both a public key and a symmetric encryption method together. This is a fairly older meaning which isn't used that much anymore (mostly because it's now considered normal, and hence not really requiring a special name)
Using both a conventional (e.g. ECC) and a postquantum (e.g. Kyber) together. This is a newer meaning, and is more likely meant when talking about postquantum algorithms.
From your description, it doesn't appear you actually meant the second meaning. Adding to the confusion is your reference to "ECIES-Kyber", when you aren't doing EC at all. IES is the name given to the original system (which uses a finite field group), while ECIES means essentially the system (but using an elliptic curve group). What might be a more consistent term for what you're thinking would be "KyberIES"