I think one solution that could plausibly work is an initiative to improve people's thinking abilities in general. However, this tends to be unpopular as while

I think one solution that could plausibly work is an initiative to improve people's thinking abilities in general. However, this tends to be unpopular as while people are very interested in the flaws in the thinking of their outgroup members, they tend to be very uninterested in their own or their ingroup members. It's a tough problem, but not even trying to do anything about it doesn't seem like a recipe for success.