I myself don't necessarily agree with her chain of implications, but it was her journey. This isn't directly solely at your comment (but I can't respond to the top one directly, as it's dead) - When you latch on to it simply to beat the anti-anti-vax dead horse, you're doing everyone a disservice.
IMHO if you want to know why online discourse has turned into such shite, then examine this. The noble ethos of judging words on their own merit has devolved into a tyranny - when you remove the "inertia" of individual reputation, each comment stands in isolation. Rather than seeing a larger pattern of a person being generally reasonable, giving the benefit of the doubt to a questionable comment, and perhaps extracting something worthwhile from it... we instead quickly judge it as "other" and move on.