Specifically to Kennedy, in his congressional hearings I've watched does not present himself as a doctor or a scientist, and also not anti-science. His main thrust appears to be that there are a great many problems in the status quo, the "authority" scientists and institutions don't have any reasonable explanations for them, and there are other scientists that are not financially entangled in the status quo that have theories that look to be worth pursuing. That is pro-science in the meaning of exploring the world in pursuit of truth. He is trained as a lawyer, and it is within his profession to be leading inquiries into intent and motivations of various parties in a dispute.
The characterization of him as anti-vax is a slur, and greatly simplified from what he actual advocates.