This is what I gathered from ProCon.org "As of July 18, 2018, all 50 states and DC require vaccinations for diphtheria, tetanus, and pertussis; polio; measles and rubella (49 states and DC also require mumps vaccination); and the varicella (chickenpox) vaccination. 43 states and DC require hepatitis B vaccination (Alabama, Illinois, Maine, Montana, Rhode Island, South Dakota and Texas do not) to enter kindergarten. Some states require Hib, PCV, and Hep A vaccines to enter kindergarten. As of Aug. 19, 2020, Massachusetts is the first and only state to require the flu vaccine. Many states require more vaccines as the children age, for example West Virginia requires the meningitis vaccine at the CDC-recommended age (11-12 years old)." So rather than a CDC / federal requirement its about state requirement's.
I ask, Isn't vaccinating all the children (in the long term) end up vaccinating every citizen?