Well, no, but then we are alledgedly a Christian country, i.e. Christians are the majority so there is no real need. I could start one but who cares?
American-Jewish relations?
I would hazard a guess that there a ton that would fall in this category. You may have to substitute "Israel" for "Jewish" but the purpose is the same. Also, there are museum's of tolerance, I think more than one, at least there is a very large one in Los Angeles. These too would fall in this category.
I could see a Council on Amercian-Aghani relations or a Council on American-Saudi relations but doesn't their name strike you as odd at all?
Not really ... but it does point me to want to watch such a group. Until the "Islams" start speaking out in unison against the 'fundamentalist' I cannot help but to group them all as one big large 'faith' that want's nothing less than what their Quran says, the elimination of all non Islam.