I see myself as "libertarian", and libertarianism and responsibility are unavoidably friends. The political Right and the Grand Orange Party in the US may claim libertarianism and Ayn Rand as theirs, but fact remains that Rand looked down on the Republicans, mocked and ridiculed Reagan, and did not want to have much to do with them. Antivaccers are not necessarily libertarians. In fact I got the impression that most are not.
Libertarianism MEANS taking responsibility for yourself, not leaving it to the state, community, others.