To be fair, if we're talking about leadership, nobody high profile spread more misinformation about covid since the start of this whole event than Trump. And in his case it often seemed deliberate. Considering that much/most of the anti-vax movement is concentrated among his base, it is hard to blame their unwillingness to take the vax on someone else's supposed claim that the vax stopped the spread of covid. Their leader is the one who initially planted the idea in their minds that covid was no big deal and that it would disappear very soon, as he repeatedly did in early/mid 2020 when it first became a massive national and global crisis. I know Trump has publicly supported the vax since then, but if we're looking to blame leadership for anything, I would argue that Trump's initial downplaying of this virus and other unhelpful messaging (like mocking people for wearing masks) was a key factor in driving the resistance to the vaccine and other protective measures.