I see the conspiracy theories as substitutes for more concrete reasons why people feel so divided and under attack. Recalling back to research done on conflicts between groups, the most strongest way tensions and fear are created is when people displays different symbols representing difference in values, unclear and uncertain definitions of identities and groups, and large difference in social and economic status being highly visible and displayed. Get people afraid with a strong dose of us vs them and people will latch onto any theory that will explain that emotional state regardless if some are true and some are false.

The best way to meet in the middle would be to do the opposite to those triggers and then talk to them.