The video proof only shows that's she's banned. It doesn't proof what she was banned for. Based on the screenshots I believe her for the reason why she was banned, not the video. Maybe a bit of a semantic quibble, but it's the screenshots, not the videos that are damning.
I don't see the damning screenshots. They don't seem indicative of "you are banned", but not why. It does say she has been banned for 30 days for "posting things not allowed". That could be anything. Are you seeing something I am not? Banning for political opinion is definitely wrong even if not unconstitutional since it isn't the gov (and I am liberal -- doesn't matter the side you are on). However if she was also posting hate speech then it would be understandable. I am not sure it is poorly conceived moderation/censorship on Facebook's part or scapegoating on her part the reason for the ban. Neither the screenshots nor video clarifies that.