You have a choice.
Continue to tolerate her addiction and her infidelity, or get out.
I experienced the same thing with my X wife. The drunken abuse, infidelity, and the insanity that came with her addiction.
I chose to get out. For my sake, my children sake.....for my sanity.
You don't have to live with your wifes abuse. Alcoholism is one thing, adultry is something else.
What do you want to do?