NC.
I can totally sympathise and just to let you know you are not alone. My DD has always been a sensitive child, quite stubborn and the queen of tantrums as a toddler, she has always found it difficult to verbalise her feelings, so I don't know if that precipitates a difficult teen transition.
She is 13yo now and we went through 12 to 18 months of hell with her, DH and I really thought she had serious mental health issues and were trying to find a psychiatrist for her.
It was as you described, screaming, throwing, spiteful and physical with her little sister and to me, utterly rude, she carried on a bit less with her dad, but he still got some of it, although I bore the brunt of most of it. She really traumatised her little sister, who she called 'The Worm'. We have doors in our house that are damaged because of her. She would also carry on in front of visitors, it was so embarrassing. The hardest part was how incessant it was, how something completely trivial could set it off, it was never ending, there was hardly any let up to it. There were rarely apologies and, like your daughter, her perspective was very skewed and it was always everyone elses fault and never hers.
If I am really honest, there are times during that period that I lost it with her, when I said and did things which I am still very ashamed of. Her behaviour not only affected our family life, but also my relationship with my DH. My DH also spent a lot of time trying to talk things through rationally with her, at one point, I even considered medication to help me cope with her behaviour, the first time in my life I ever thought I needed something to help me cope.
Looking back now, I think our one saving grace was that at bedtime with the lights off, I would lay beside her in the dark, and she would open up, that she didn't understand why she did this, she would try harder, I would give her strategies to help her when she felt like this, try and empathise with her, sometimes she would sob in my arms about how 'bad' she was. So for that 20 or 30 minutes every night, she was our girl again, and somehow that kept a very thin thread of connection between us. However for a long time, I believed my words were not getting through to her, because the minute she got up the next morning we were back to square one.
My sister could not believe that I was still 'laying with a 13 yo at bedtime' but I really think that did help us. I also made a point of taking her out just the two of us, or just her with DH and I for an evening meal and leaving the younger one at home with a babysitter. DH and I did try to regularly spend one on one time with her. I was very torn about it, because I really did not want her to see these treats as us being weak and accepting of her behaviour. We spent a long time on a roller coaster of punishments and rewards, punishments and rewards, it was a horrendous time.
While I don't want to jinx things, she has been amazing for the last 4 or 5 months, a few moods here and there that are definitely hormonal, but now she takes herself off to her room if we are 'annoying' her, she is being really nice to her little sister (who still does not trust her motives, sadly). Very kind and loving to me, I feel we are really close again and she is sharing lots of personal things with me.
I really don't know how it happened, but I think it is a combination of maturity, her periods settling down and (ab)normal teenage stuff. I don't know if any of the punishments or rewards worked (confiscating her phone, grounding her, etc), but I am relieved we have come out the other side of it. I am guessing we may hit it again during the teenage years, and I think it will be harder if it happens as a 16 year old, but hopefully we will retain our connection.
I also read Divas and Doorslammers, and lots of other books but I have never been able to use one single book strategy for any of my parenting.
Good luck, I am hoping she will calm down soon and you will have your little girl back.