I have no problems with others doing a prayer circle. I don't care if our team participates. My only concern is that if someone chooses not to and having them get singled out or looked down upon for doing it. For those saying it's fine - you don't need to do it if you don't want to, there are still those who would look down upon girls if they don't. People should be allowed to question things and stand up for themselves. Because the HC declined participating for his team because some of his players were Jewish, I do not feel like that was out of line. The other coach could have chosen to respect him and done his prayer circle with his own team. Whose beliefs are more important in that case?
Adults should act like adults. They should use sound judgement, be respectful, and act professionally. I do not condone anyone getting "singled out" or "looked down upon". Since your question includes two coaches, I will reply with my thoughts from each side of the argument.
1) Head coach of team implementing the prayer circle -- First off, I would not be the one implementing such a thing. But if I did, I would respect the beliefs of others. If they choose to participate, great. If they choose not to participate, great again. I don't care either way, and would not look down upon anyone that chose not to participate.
2) Head coach of other team -- If someone started a prayer circle and I wasn't prepared for it, more than likely I would ask my team to participate, and then meet with them afterwards asking for their input. If they told me as a group that they would prefer not to participate in something like that again, I would very politely refuse the next time it happened and simply walk away.
In either case, I would act as calmly and professionally as I possibly could. I would not cause a scene or create any issues. As a coach, I have a responsibility to act a certain way in front of my players. And I take that responsibility very seriously.
And as far as the girls being "looked down upon". Unfortunately that is part of life. My daughter faces that constantly. In fact I just got a text from her 30 minutes ago. Apparently several of her friends are going to a college party tonight and wanted her to tag along. They are all 18 and yes, alcohol will be involved. DD politely said no because she wants to go to the cage with me tonight to work on her hitting. The high school season starts next week and she wants to be ready. Apparently these other girls are giving her a really hard time about this. She is used to it and just deals with it. No, it isn't right, and it shouldn't happen. But that doesn't mean it won't. Like I said, it is part of life...