The proper response that can be given regarding vaccine is: "vaccines haven't actually contained whole bacteria since 2008" .
Explanation:
A vaccine is a substance that is prepared biologically to provide active immunity to a particular infectious disease. The vaccines are made of microbes, surface proteins and toxins that are able to kill the disease-causing microorganism.
In the above scenario, Smith doesn’t allow the doctors to vaccinate his son after knowing that the vaccines contain microbes. Actually the vaccines are made of killed form of microbe that does not harm the user. The proper response that can be made is vaccines don’t have whole bacteria since 2008.