I will agree that a number of generic and then some more religious songs (there are a number of better Hannukah songs than Dreidel, Dreidel. I've personally always liked "Light One Candle" by Peter, Paul and Mary best. It's not childish and it DOES get into the Hannukah spirit. But, hell, I'd be amused if I saw school kids singing Adam Sandler too.), would be acceptable.

And, frankly, I don't accept that because non-Jews think Dreidel Dreidel is the best song for Hannukah, that we should all sing it. Education needs to start somewhere.
If you're going to sing overtly religious Christmas songs, than kindly do not insult my intelligence by singing "Dreidel Dreidel Dreidel I made it out of clay." It's going to make me very upset.

I know of no good Kwanzaa songs, and I'd want to be careful that any Kwanzaa song I would want my child to sing would be acceptable.
What about other major religions?

The problem is that children's concerts are aimed at parents and since the majority of parents are christian, that's what people expect from a christmas concert.

Also, if you can't sit through one more bad middle school performance, than you and I shall have a long discussion about whether or not our child(ren) will be in middle school band, because extensive experience has shown me that MOST school level performances are pretty bad.