I've actually found it works a lot better if both people just allow the contentious statements. Just let each person say, "Oh that's ridiculous because..." and

I've actually found it works a lot better if both people just allow the contentious statements. Just let each person say, "Oh that's ridiculous because..." and the other replies with "You're totally missing this point..." Even if people raise their voice or scoff, it's fine. The key is to just keep going. If you go on long enough, the points do start sinking in. Too many people assume that acrimony means that the discussion must end immediately. But that's not true at all. It's exceptionally hard, sometimes, to meet clashing beliefs with entirely soft voices and polite manners. You don't have to suppress everything you want to say. You can let it out. So can the other person. It's good. (Obviously it shouldn't raise to a degree where people are screaming continuously or acting violent). Maturity doesn't just mean always speaking softly. It can also mean being able to make and reject points forcefully, and not wilt like a delicate flower if the other person does the same. The real key is that people need to not be so delicate. Accept the natural difficulties of clashing belief systems. Just stick in there, let the acrimony happen, don't give up. Eventually - 10 or 20 or 30 minutes later - you'll get to something meaningful simply because there's no way to talk that long without both people having a lot of time to make real points.