sprman24,
the choice is yours. I advocate leaving before the relationship becomes long term. Like 8 ball, I too stay with an active alcoholic as we have been together for so long, and have children. I have thought about leaving more times than I can count.
I really think it is better to leave them early before you get too involved. you can not understand from the words we use how difficult life is living with an alcoholic. you have no concept of how much your life will change and how it will effect your children. then, 20 years later you look back and then you understand.
And, leaving him now may be the very best thing for him. if he understands he lost you due to his drinking, he may fix it now.