We should note that Kennedy didn't actually say that he would "gut the agencies". The linked article claims:

Robert F. Kennedy Jr., a noted anti-vaccine activist who is running for the Democratic presidential nomination, told NBC News that he would gut >>>funding<<< for federal health agencies that monitor and recommend schedules for childhood vaccines.

Yet, there is no direct quote of RFK Jr. making such a statement. If we look at the NBC News article being referred to, we find the following:

President Kennedy would order childhood vaccines, which have already gone through clinical trials and constant safety studies, to undergo bigger, double-blind controlled trials. That sounds scientific, but those studies, health professionals say, would needlessly and unethically deny children vaccines, offering them a placebo instead, in a quest to find out what we already know: that vaccines are safe and prevent myriad illnesses.

President Kennedy would gut the agencies that currently regulate, monitor and recommend schedules for childhood vaccines — the Food and Drug Administration, the National Institutes of Health and the Centers for Disease Control and Prevention — and the expert advisory panels of doctors, scientists and professors they rely on. The agencies have become “sock puppets” for the industries they regulate, he says, so he’ll impose more stringent conflict-of-interest qualifications and replace the bad guys with good ones. Kennedy won’t tell me who he’s got in mind (“not until they’re vetted”) but says he’s got many names.

There is no apparent quote or even description of the interaction between the writer and RFK Jr. to even suggest that. And notice how the word "funding" has disappeared. It appears to be purely... interpretation (to put it kindly) on the part of both writers. Although, perhaps they interpret excising corrupt individuals from their agency posts as "gutting". In that case, please gut away.