We are seeing this in the UK witrh other vaccines hence the rise in things like Measles, we really do need to do a better job of sharing good science information and keep telling the anti vax idiots to either show us the science to back their claims or shut up.
Sadly I think the battle on mainstream social media is lost, there are enough science, and importantly rational intelligent people on the Fediverse to really share information based on actual science, backed by research, backed by evidence and backed by actual papers on the topics. It makes good reading but also helps others share this information too.