Building trust between people who are disagreeing and don't currently have trust is hard.
But it's significantly easier if you find common ground and then build up incrementally from that.
When there's no common ground, people are in the "they're on the other team" mindset.
When there's common ground, at least on that small bit of overlap, there's "we're on the same team".
Find the inches of common ground first, celebrate those and then build up to the parts where you truly disagree.
Now you'll be on stronger ground to collaborative debate them as one team as opposed to two battling teams.