Never brought up children... Yes of course children should be vaccinated for potentially deadly diseases. FYI libertarian's believe this too:

http://reason.com/blog/2016/08/26/libertarian-gary-johnson-c...

So, you think that children should be vaccinated by law, but that adults shouldn't because they might be allergic, and they'd only find out when first vaccinated.

But... you believe they should all have already been vaccinated.

Hm.