For the spouse of an alcoholic, the saying "once bitten, twice shy" applies, except that it's more like "a thousand times bitten, a million times shy."
My alcoholic husband talked a good talk, but in the end his actions regarding sobriety (or lack of) spoke louder than words. After years of it, I'd finally had enough. Life is far too short to live with so much abuse, hurt and uncertainty.
She will look at your actions. She is not interested in your words, your empty promises, your excuses, your shifting of blame onto her. What action are you taking to get sober, stay sober, figure out why you drank in the first place, and mend the huge black hole in your life, marriage, and family? Alcoholism has a tremendous effect on the entire family, your children included. You have a choice.
So does she.