I feel like cutting my alcohol dad out of my life.
Are you cutting him out of your life because of his drinking?
My dad gets drunk on weekly basis and it is unnecessary to have that kind of family
You should take care of and worry about yourself first, but it is bad to cut people out of your life like that. You should have a talk with him about how his drinking hurts you and the rest of your family.
I'm doing what's best. He's a drunk and I need to back away from him.
It seems like you have your mind made up about cutting contact with your dad, and that's OK. If your dad's toxic behavior is negatively affecting your life then it's reasonable to want to end things with him. Consider getting into therapy so that you can work through any lingering negative emotions you have about your dad's drinking.