I have a better idea.

Lets require all Ham radio operators take an I.Q. test. Only upon
passing the test would an operator be allowed Amateur privileges.
A score of 130 would be required. This would eliminate 98% of
hams and also eliminate overcrowding of the band.

The 98% of Amateurs who flunk would automatically be termed CBers.
This shouldn't be a problem because 98% of Amateurs are nothing but
self glorified CBers anyway. They just would never admit it.

Problem solved.