Yes, allowing antivaxers is irresponsible.
The issue is not one of “considering all the views”, but rather one of low scientific literacy, and/or the rise of alternate agendas, as well as an industry and its counter industry in the US of monetising healthcare.
Even in this limited thread the lack of scientific education is highly visible. For example, the Greeks saw a raven fly overhead before a battle, lost the battle, and said “obviously the gods, in the form of a raven, lost the battle for us”. Same thing when you see someone get a vaccination then attribute some random illness or outcome to it at some future date. The massive data sets immunologists work with, and the statistical analysis tools they use, are unequivocally clear on the safety of vaccines.
Modern vaccines are possibly our finest technical innovation. This is factually indisputable.
If you believe something else you are poorly uniformed, are reading a narrative controlled by people who have some other agenda, are stupid, or feel afraid by the complexity of the modern world and look for solace in conspiracy theories. This is also true.
However...the answers to this problem cannot start with strict censorship, as this does not work well.
The most effective method to encourage vaccine use is to let about 1/3 of the population die from a disease outbreak, especially if it’s children...that usually snaps people out of their dilusions.
The second most affective method is to make people criminally responsible for misinformation, followed closely by making people who provide the platforms for misinformation criminally responsible.
Much stupid shit on the planet right now is caused by the obviously flawed idea that all ideas carry equal weight and merit. The recent armed insurrection attempt may lead to some conversations about that, since the agenda was and is controlled by a wall of mistruth that the great unwashed have no critical thinking skills to navigate, but I think it will take more....probably civil war, which is almost always associated with disease outbreaks....look it up.
Rome enjoyed 100 years of civil war and disease brought about in large part by powerful interests controlling and spreading false information to better their interests....the parallels, including the corruption of existing power systems, and populists rhetoric in response, are striking. Social media is helping amplify this.
The antivax movement is but one symptom of uneducated people being controlled by people who have far too much power....so my answer is that this one issue really doesn’t matter, and natural selection will solve it anyway, sooner or later.