Yeah it’s incredibly difficult, that’s why the majority of people never change their ideology past their early 20s when they first flirt with several. Add in the fact that you’ll likely be socially ostracized from your old community if you ever do change your mind and the evolutionary pressure to be accepted over being logical, and it’s quite frankly impressive anyone ever does.
Yeah it’s 90% compassion and 10% argumentation. Seeing things from their perspective, seeing the aspects they like and not immediately placing those aspects into the good and bad buckets, but instead truly appreciating how those aspects work for them. Of course, then you need to figure out how to advance your position over theirs, but that exhaustingly starts in compassion.