I kind of forgot about this thread, but I now have a response. I made a mistake, I take back the unconstitutional part.
Though I do believe it is more unconstitutional than praying at the White House. The inauguration is an official ceremony of the state that should have nothing to do with religion. Praying at the White House, is the business of the people involved. I just don't think religious objects should be used during state ceremonies.
First of all, I appreciate your retraction. But with all due respect, something is either unconstitutional or it isn't. Appropriateness is another matter, though, and on that I sympathise with your argument.