If I challenge you, I look like a big heartless meany.
If I don't challenge you, your nonsense gains credibility by association with, um, conviction and courage and stuff.
Hell with it. I can't win without a level playing field, and you're not gonna allow me a level playing field. So I'll just go out fighting. Here are my points:
1) The vicious stupidity of other kids does not in any way make your daughter, or you, in the right regarding the original question. Truth just doesn't work that way. There was a time when young Nazi sympathisers got beat up on the playgrounds of America.
2) Conviction is not the same as bloody-mindedness. The difference is: one is well thought out, and the other isn't. But I don't expect you to appreciate such a fine distinction.
There. Now I look like a big heartless meany. Now you can beat me up.