I totally agree with you. The issue here isn't whether you are pro-vaccine or anti-vaccine (false dialectic). The issue is about personal freedom that only you have the right to determine what you can or can't put in your own body. You own yourself, so that is not something that you can abdicate to others.

We live in the age of information, so being ignorant about what is in vaccines is not an excuse. The ingredients are right on the inserts as well as the risks vs benefits. If you do decide to vaccinate yourself or your children, just be informed on what you are are putting you your body. You can ask the nurse for the insert or you can look it up on the manufacture's website or from the FDA.

For example:
https://www.fda.gov/downloads/BiologicsBloodVaccines/UCM123789.pdf