Show me said law. As a physician, I'm not aware of these laws.
There are CONDITIONAL laws, which basically are the school vaccination laws (i.e. you cannot attend a public school without certain vaccines), but they are far from absolute. California has some of the strictest vaccination laws regarding schools, and even they are not absolute. For example, if you are so hard core anti-vax, then you can home school your children and 100% of those vaccines cannot be forced upon you.
EDIT - for the record, the CDC has a tidy little page on vaccination laws, and you will note that they are actually quite narrow:
CDC works with public health agencies to improve and sustain immunization coverage and to monitor the safety of vaccines. One tool used is vaccination law.
www.cdc.gov
Aside from strict laws governing healthcare workers and PUBLICLY-funded schools, there are not blanket laws regarding vaccination in this country as you are implying.