You post is well written and very informative, it got me thinking - maybe my whole approach is faulty.
I find myself in anti-vaxx argument plenty, and it never seems to work...
and yes, I tried talking to the logical sense in them.
What bothers me the most are people who preach to others, normal ones, and got them to stop vaccinating their child also. It's terrible.
It usually comes with plenty of scary stories of kids horribly dying from vaccine, and so-called 'research' from third-world country...
I wish there is something we can do, kids have no ability to protect themselves, we have to try for them.