Changing it to CE/BCE is offensive/insensitive to some people, so that's not a winning solution either. I see it as dishonesty, not compromise - you're keeping an entirely religious calendar and pretending it isn't religious although it obviously is.
We've changed the units we used and we've changed our currency, both of which are far more intrusive changes than choosing a different time to start numbering years from. We'd just need to agree on a starting event, which wouldn't be easy. Oldest known writing, maybe. Oldest known human permanent settlement, perhaps. Something not tied to any specific country or religion. It doesn't need to be precisely accurate - any year is as good as any other in this context.