Overwhelming medical evidence huh? Show me the double blind placebo safety test performed on a vaccine. I bet you can't show me one.
I don't need to show you a double blind placebo safety test. Just look at the death rates from measles, mumps, whooping cough, the rate of birth defects caused by german measles or the rate of TB cases in Europe (where they vaccinate for it). There is literally no other plausible explanation for the dramatic declines in death rates for these diseases which occur immediately after vaccination programs started. Note also the absence of a similar increase in deaths or serious complications for the vaccine. The tests you mention are conducted before mass deployment. Now these vaccines are deployed you just need to look at the data: they really are overwhelming.