So far the CJC appears to have taken no official position re the Ground Zero Mosque. And why should it, you may ask, given that mosque construction in New York City is not, strictly speaking, within the Ceej's bailiwick? Well, Danish Motoons and "the timeless courage of the Haitian people" would seem to not be within its purview either, but that didn't stop the Ceej from weighing in on both of those far-flung subjects.
From this recent posting on the Ceej site about Muslims and Jews getting together to "join hands" in, of all places, Vienna, I'm prepared to go out on a limb and say that, if it had to proffer an opinion on the GMZ (a structure which, claim those pushing for construction, will be a boon to interfaith understanding), the Ceej would likely give it an enthusiastic thumbs-up.
I could be wrong, of course, but I don't think so.