I forgave the alcoholics in my life (two husbands--one sober, one not) long ago, way before my own drinking went out of control. Everyone is different--some people recover from the damage alcoholism causes, some faster than others, and some never do.
You have my sympathies on the daughter. Physical aggression is NEVER acceptable. You might want to sit her down and tell her the next time she is physically aggressive with you, you are calling the police. And you could also tell her that if she ever takes YOUR car again, without permission, you are calling the police. But only if you are actually willing to DO it. Nothing worse than making empty threats.
How long you continue to provide a roof over her head is a decision only you can make.
I suggest you post down at the F&F forum, too.