They certainly give the government the power to order parents. The UDHR mandates education for all, and so states are bound to mandate education regardless of the parents wishes. The same applies to healthcare, it is the governments responsibility to ensure healthcare for all, regardless of the parents wishes. The government has, according to the UDHR, the explicit responsibility to provide healthcare for children. Note that the article on education includes a note on parents' choice; the healthcare one does not.
Children's rights are further developed in their own convention,
the convention on the rights of the child. Now, what does this one state? It states clearly that the
government should
ensure that children develop healthily. It's not "parents", and it's not "provide". It's the government's responsibility, and they should ensure it. Clarly, if a given vaccine is deemed necessary for the health of a child, it is the governments responsibility to ensure that the child recieves it. Parents have no authority to challenge the human rights of their children.
Feel free to argue for your version of liberty all you want, but refrain from bringing up the UDHR. It does not support your views, and it has an interpretation of liberty which differs from yours. The UN sees national governments, with the UN as arbiter, as the providers of the freedoms listed in the UDHR.
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