With respect, that isn't going to be possible, believe it or not sometimes people will disagree for the sheer sake of disagreeing... especially Catholics. If you suppress disruption in caucus threads by members of the caucus you'll end up stifling discussion. I suppose there could be a Novus Ordo caucus and a traddy caucus but that just seems silly.
It is not unusual for religious groups to caucus on the Religion Forum based on a doctrine or interpretation, e.g. Dispensationalist Caucus. Sometimes posters want to discuss their own views without outside noise.