Yeah, funny how I considered if you would counter with cognitive dissonance and the related problems. Well, but the counter is that you can't teach a human to solve that unless that human is ready for that and if you try to force it, you can cause harm.
Whilst teaching prior to a person being ready for it is likely ineffective, I'm not sure what harm?
Pointing out inconsistencies in how people think through an issue is more effective (in my opinion) than disagreeing with them and pointing out why they're 'wrong'.
Thus it ends back in coping, yes try to better the situation, but always remember it is about the human coping where that human is and is in fact capable of that.
Whilst I both accept and agree that some are not well equipped to either effectively discuss or deal with cognitive dissonance on complex issues in different spheres, that speaks to their capability...not the strength, coherence or impact of their positions.