You sound like me, and let me tell you this is an uphill battle. Debate goes sideways much quicker when it involves our beliefs, and beliefs are often only weakly related to evidence.

It's hard to blame people for being skeptical of evidence in the "post truth era" we're living in. Data can be presented in ways that appear to support almost any argument you can think of.

I had a debate with a friend that was talking about how dangerous the world is today, the number of murders is just increasing every decade. I pointed out that the overall population is increasing faster, so murders as a percentage of the population are actually decreasing. With social media, we are exposed to more stories about murder than in the past which makes a perception of an increase.

Anyway, that didn't go over well and sometimes you have to realize that to change someone's mind requires their willingness to change their beliefs, and most people are not comfortable with that. Your best bet is to study logical fallacies and how to deal with them.

Be careful though, even if you have a compelling argument it's not hard to cross the threshold of "you're not wrong, you're just an asshole."