For one because they lack the authority to concern themselves with our health. For another because it has nothing to do with our rights or our liberty if we get sick from disease.
Yeah, your thought process is illogical, and incorrect.
The health and safety - to a certain degree - is exactly their business. If you don't want your government to care about general health concerns that could affect the entire populous of it's people then perhaps you can move to a 3rd world country where the government does not - because it cannot cover the cost - get involved in health concerns.
And you can then die of typhoid, cholera, yellow fever, dengue fever, diphtheria, malaria...
Also - since you believe government should butt out of protecting us from anything health-threatening - we need to dissolve the FDA, and end all cleanliness standards, too. So then we open ourselves to botulism, hepatitis A, e. coli, listeriosis, staphylococcus, salmonella
Yum yum - aren't you living a happy ****ing life.
Apparently a side affect of a caring government that protects it's citizens from extreme troubles like all of these in life is that people become complacent and no longer realize how deadly the world is.
But if you want to have your innards rot out, or your skin fall off with painful lesions, your bones to become brittle and deform, and contract a disease which tortures you before it kills you - then by all means, oppose inoculations and efforts to annihilate such conditions. Just keep your blood and pus away from me.