Neither the BCE/CE system or the BC/AD system have now or ever had a year 0. There is only 1 BC or 1 AD--its the same system thought up by a Christian monk (very likely wrong, as you state) in the 5th Century--however both are based on the "traditional" (and incorrect) estimation of the same date--namely Jesus birth. The reason it is the "Common Era" is due to the influence world wide of Christian culture...
To me it seems pretty disingenuous for academia for whatever reason to try to sanitize BC/AD since it really is the same Christian based and invented calender after all...
That's a seperate issue. Some on this threat are claiming it to be a Jewish plot to minimize Christianity or what not.