It's trivially easy to understand that getting a vaccine that benefits you, as well as the people around you, is good for the people around you, much more so than it is good for someone you're protesting against.
And not getting the vaccine is potentially bad for you, and those around you, much more so than it is bad for anyone you're protesting against.
The vaccine helps your body fight the virus, and reduce the spread of the virus in your local community. That should be the key point in deciding if you get a vaccine.
That's just the thing though, isn't it. Is the vaccine good for you and the people around you? Since we know asymptomatic carriers are a thing, does getting the vaccine protect those around you? Are you even able to get reliable reporting on the side effects (of various shots) and what groups are likely to be at risk for them?
Assuming a disagreement about reality is a disagreement about values is a great way to straw man without knowing it.
And not getting the vaccine is potentially bad for you, and those around you, much more so than it is bad for anyone you're protesting against.
The vaccine helps your body fight the virus, and reduce the spread of the virus in your local community. That should be the key point in deciding if you get a vaccine.