Frankly speaking, you are better off with her out of your life. If she can't take facts and common sense, or have any reasonable discussion, then why should you waste your time on her?

I get the "family part", but is she is unwilling to accept you, then it is her decision. Do you need her? if not, then let her go. If she wants to talk to you, then let her speak, but do not accommodate her in any way that is necessary. Let her realize the mistake.

I care a lot more about common sense and nice, honest people, than about family, especially if said family members for all purposes have betrayed... well, both you, and humanity in general.

In fact I have a similar relationship with my cousin - a girl in her late 28's. Several years she moved to the multicultural paradise called MerkelLand, and it is more and more difficult to talk to her on any serious topics - she simply refuses to talk. While we are not completely distanced, I really don't bother trying to make sense into her. I am not responsible for her, and that's all. Perhaps, if I had the resources and an active interest, I would organize a sort of "shock therapy"... but I am afraid the Merkels favorite people will get there first.