The anti-vaxxers, of course, maintain they are fighting for “freedom.” There is no strain of responsible libertarian thought, however, which suggests that it is OK to use your “freedom” to damage the interests of others. As a result, if you confront an anti-vaxxer with the fact that he is damaging your freedom, he will probably respond with obvious lies in order to avoid the issue–the virus isn’t that bad, or the vaccine doesn’t work.
What the anti-vaxxers really mean, as opposed to what they say, is that their rights count for more than yours. It is purely a question of power, not rights. It is a supremely selfish and anti-democratic position.