I don't think so - I understand where you are coming from but if you don't believe in what you are doing, it doesn't hurt you to go along with it. That's the way I see it, anyway.
One of my friends got married in a gurdwara and we did have to cover our hair to go in. We also removed shoes. And sat on separate sides of the gurdwara to the men. I didn't see any of this as observing religious beliefs, but as going along with the custom of the place I was in.
In the same way, I am not Christian (proudly atheist, in fact). I observe christian traditions because they are the traditions of the place I happen to live in. I go to church when friends get married in church, and warble along with the hymns because I happen to like singing - doesn't mean I believe a word of what I'm saying. It does me no harm, and pleases those who do believe it.
Having said that, I suppose I have the choice to stand dumb if I want to, whereas your dd doesn't have the choice about bowing etc - hmmm. If she went to a country where people covered their hair, or their ankles, would you advise her to? Again, I see it as just respecting the culture and beliefs of somewhere I've chosen to be, and if I don't share those beliefs, in the end it doesn't hurt me to go along with it for a few weeks.
So although I can see it's a difficult one, I think, for me, I'd be happy enough to let my dd do it if it meant showing respect for others - go through the motions even if it means nothing to you.