Robert F. Kennedy Jr. is the son of former U.S. Attorney General Robert F. Kennedy and the nephew of former President John F. Kennedy and Senator Ted Kennedy. But his views are a long way from those of his Democratic kinfolk.

To secure the votes needed for confirmation as the nation's top health official, Robert F. Kennedy Jr. assured a U.S. senator that he would not alter the country's vaccination schedule. However, during his first address to employees at the U.S. Department ...