I can think of two people my wife and I know personally who are vocally "anti-vax" – one is a rather conservative Christian, the other is a woman with a long-standing interest in the New Age / Tarot / occult / crystals / psychics / alternative medicine / etc. The first, when I was younger (15–20 years ago), I used to run in his circles a lot, and I never heard anybody say anything remotely against vaccines at any of the churches / youth groups / bible studies / etc I used to go to with him. He only started becoming "anti-vax" around when COVID started, and it obviously had a lot to do with US politics (he was a big Trump fan, and so was his church–I'm not sure if they still feel the same way about him now), despite living on the other side of the planet. Even then, he was always primarily "anti-COVID vax" rather than "anti-vax" in general.
Our "New Age" friend, her being "anti-vax" was entirely expected, because "anti-vax" opinions have always been very common among people like her. She became very political about it around COVID, organising protests, etc. It became even more intense when she lost her government job (as an adult vocational education teacher) due to her refusal to be vaccinated against COVID. But, the anti-vax protest movement she became involved in was rather left-leaning, it was all composed of New Age types, hippies, etc, who live in a "hippy area" (the Northern Rivers district of New South Wales). I think if someone like our other friend – a conservative Christian spouting pro-Trump rhetoric – had turned up at one of her protests, she would have run them off.
> Note that extreme idealogies sort of "wrap around" the political spectrum
I don't know if that's really true though. While opposition to COVID vaccination may be one of the very few things these two friends of ours could agree on, I think their reasons for their respective positions are very different. I'm not sure the whole "wrap around" or "horseshoe" thesis is really that useful in understanding why two people from opposite ends of the political spectrum may occasionally end up agreeing on something, even something outside the mainstream.
Historically, the majority of opposition to vaccines has been "left-wing" rather than "right-wing". It was only really with COVID that it suddenly picked up on the right as well. I've had some rather frustrating conversations online with people (mostly Americans it seems) who are utterly convinced that it is fundamentally a "right-wing" phenomenon, and seem to just want to ignore the evidence of its long history among self-identified "progressives":
https://www.smh.com.au/lifestyle/health-and-wellness/how-one...