Every single anti-vaxxer I know is really into personal freedom and has a distrust of the government. This includes a senior NIH scientist I have known since grade school as a close friend. She refuses to get vaxxed for various reasons, none of them related to Trump. The more the "authorities" tighten the noose on her the more she is resisting. Some people are just wired that way.
I'm not going to deny it's becoming a statement of sorts for many of the unvaccinated at this point. The rhetoric out there right now is extremely hostile towards the unvaccinated (and those with natural immunity), so it's no surprise these freedom-loving folks who distrust centralized big government are digging in their heels.
I will also add that many of the unvaccinated are minorities and young people, not exactly Trump's base. Something like 1/3 of people apprehended at the border have refused the vaccine, for example. The media has many of you convinced that the vaccine refusers are all old, fat Trump rednecks. That's a bunch of them, but not all by far.