Am I wrong for cutting my mother out of my life?

You are never wrong for cutting a toxic person, parent or not, out of your life. Don't let people try and convince you that just because she is your mom you have to put up with her behavior. She crossed a line when she called CPS and made false accusations against you. She is now more than toxic she is a danger to the integrity of your family. I hope all worked out with CPS and if I was you I would consider civil legal action against her for her false reporting. That is and option, perhaps you should remind her of that.