They can try but national governing bodies are governed by the USOC which was created by the Amateur Sports Act of 1978. Starting a new one is difficult but not impossible.
USATF (once called TAC-The Athletics Congress) was a spin-off from the AAU which had become a millstone.
There is currently a new athletes association which could become a new governing body (http://trackandfieldathletesassociation.org/site/).
Everyone should send the TFAA $20 for a Supporting Membership.