Yes, the US populace has elected to fund a public health organization which has advised on public health measures since its inception (which is not recent or coincident with Covid-19).

You are not forced to take any vaccine, though many (public and private) institutions will require you to do so to participate in their functions (e.g. attending public school, serving in the military, working in hospitals, etc...).

In any case, the will being applied is that of the people (indirectly) through its (mostly) elected representatives (who could abolish the public health organization any time it chose), not some nefarious government.