Both programs are designed to help you become a more serene, healthy, individual. Both programs teach you skills to face life on life's terms.
This forum has a lot of members that are considered double winners. Double winners are folks that have overcome their personal chemical addiction as well as working on their personal recovery from living with another person's addictions. In fact, I am one of the double winners.
My personal recommendation, based on my experience, would be to focus on your own alcoholism first. Focus on taking away a chemical addiction that is preventing you from facing your anger issue. Then you will be clear minded and able to face the deeper issues that are driving your anger.
I think your HP put you in the right place at the right time.