OP, I feel for you, for I also have a parent with Alzheimer's.
I recieved my mom's diagnosis 4.5 years ago, on the day my Dad died. My mom was so angry about her diagnosis, she beat up the nurse that was trying to take her blood pressure. The nurse had a nice bruise on her arm and cheek. Oh, times were so fun then.
My mom moved in with me 2.5 years ago, when I finally decided that she could not safely live alone anymore. I told my brother this Thanksgiving, who lives in another state, that I want my life back, that I am tired of caring for my mom, for I went from being a SAHM to having a job offer that I had to give up on the day we realized my mom would be moving in with me and needing constant care. I told him he needs to find a place down South for her, near him, or I will be finding a place for her here.
Selfish as this sounds, I just want my life back, and even if your parent doesn't live with you, the constant worry and decisions making of how your loved one is still removes you from the life you thought you would have at the age you are now. No matter the situation, it isn't easy.
What I remind myself though, is that as hard as this is on me, it is even harder on my mother. She has lost everything. Sometimes, it helps to remind myself of this.
Regarding the anger, I have been told that it is a stage of dementia/Alzheimer's. My mom went through it, and there were times I was the devil, the absolute worst person in the world. Oddly enough, she always liked my DH, and I would sometimes turn to him for help with her. I felt badly, as this isn't his mother, but DH was always able to help calm her down, and I am incredibly grateful to him.
My mom is now at a stage where she is pleasant. She isn't really talkative, but occasionally you catch a bit of humour or wit from her, and I am always shocked, because for 2 years, it was just anger! I prefer this stage! Perhaps, OP, this will happen for you, too, and it may make it easier to find a place for your mom if she isn't being combative?
And I also highly recommend, as others have said, to have her reevaluated medication-wise and health-wise. Even if nothing needs to be changed, at least you know you have tried. I find that knowing I have tried the best for my mom helps me, no matter the outcome of the future.
Hugs to you, OP, and all who are in the same boat. I pray we never face this ourselves, and that science finds a way to prevent this awful disease, for the thought of losing all my precious memories would drive me to the depths of despair and the peaks of anger, too.