Unlike other NCAA divisions and subdivisions, the NCAA does not officially award an FBS football national championship, nor does it sanction a playoff tournament to determine such a champion on the field. Unlike the belief of many on here, the NCAA does not receive money from the CFP, the FBS conferences and colleges do. The NCAA does run the FCS playoffs.
The CFP is organized by the FBS conferences and is heavily influenced by the conference commissioners who serve the conference members, but also try to satisfy the bowls.
When people want the NCAA to be done so something else can be in charge, they need to know that is already here with FBS Bowls and Playoffs.