It certainly sounds like the issues are much more complex than his parenting style. He sounds controlling, refuses to take on his failings, won't take ownership and has anger problems. It also sounds like he is targeting his non bio kids.
I get that blended families are hard, I was a child myself in one. I also know that no parent is perfect, including myself. But everything you've written here is bringing out my mumma bear tenancies. Your kids shouldn't have to tip toe around him, nor should you have to continually placate him and hide *normal* child behaviours from him to stop him getting angry.