Congrats finnian, you are one of the few people who have a legitimate reason for not getting a vaccine.
Keep in mind, most anti-vaxxers do not actually have such a reason.
me and my children are no threat to you
While not quite fully true, but for the most part you are right. They are likely harmless to anyone who has been vaccinated.
Why the hell would I risk it by giving them a ton of vaccines?
You shouldn't, I don't think anyone would argue for you or them to get vaccinated.
Currently, anti-vaxxers pose the biggest threat to families like yours as right now you rely on herd immunity to protect you and your children from diseases like measles, mumps, etc.
No, I would recommend they not vaccinate too. For most of the tons of shots given, there is no good reason to get the vaccine.