Sobriety is possible for anyone, without exception. How you go about it is the tricky part. For me the breakthrough moment was when I finally accepted that I cannot drink responsibly, and I will never be able to. There is no logical explanation why, it just IS. Call it surrendering, or acceptance, or whatever you like....but it is something I cannot change. Is it fair? No. But then again life isn't fair. You have 2 choices...keep drinking and face the consequence, or move forward with a new life.
Once I got to that point, I could focus my goals on getting there. Sober life really is better, my health is better, my family is better, my job is better, everything is better.