I'd have to unfriend a lot of my family if I did this...LOL
Personally, I hide people from my feed as soon as they post political stuff (that is us vs. them. political just in general is fine. I don't really care about other people's politics all that much) so that I won't know this stuff about them. In your situation, I'd hide her in my feed for sure on fb and probably decline the invite if you're ready to let this friendship slide. Is she a good friend otherwise or are there more reasons why you're ready to move on?