I'm not really at liberty to comment on our ritual, except to say that I sincerely doubt most Christians would be uncomfortable with it.
Some of my Jewish sisters would try to sit together at Friday night dinners at Hillel, and AEPhi always co-sponsored a Yom Kippur break-the-fast with AEPi open to all undergrads (neither of which was mandatory), but nobody was surprised when non-Jewish sisters didn't turn up to these things - people were there because they were Jewish, not because they were AEPhis.
We had a clause in our bylaws that prohibited scheduling mandatory events on the Jewish holidays (including the Sabbath) or on the major holidays of any other religion that a sister practiced. (I had a big row with our chapter president when she wanted to schedule chapter on Easter Sunday (!) but she backed down.)
My chapter has had members who are Jewish, Catholic, Lutheran, Episcopal, Hindu, and a couple of other faiths I'm forgetting. Nobody was ever made to feel unwelcome based on their religion - we are all sisters!
DaisyKLP - what an interesting approach.