I was having a discussing with a gun control advocate Tuesday night (I was discussing, she was arguing and yelling). I continually showed her data that disproved every "fact" she knew. I even showed her the news outlet rating websites which told her that her sources were as dishonest and biased as the outlets she abhors. In the end, she didn't care about facts and data even when looking them directly in the face. Given her unwillingness to look at logic and the hot pink yoga pants she was wearing, I chose to forego the battle to win the war
The book is called, "How to have impossible conversations."
A tldr, though, is that you'll never win this argument with data. Ever. Figure out why she thinks the way she does on an emotional level. Really understand it. Then counter it with an emotional story of your own that forces her own rules into a does not compute moment.
Takes some practice, at least if you're like me (INTJ on the Meyers. So I'm an bubblegum )