I'm 14 years sober. I suffered greatly from anxiety (GAD) during my drinking years and into sobriety as well. I found that while abstaining HELPED, it did not eliminate the anxiety. In fact, in my own case, I think my drinking was primarily a way of self-medicating the GAD. For a while, it worked, but toward the end it made things much worse.
Anyway, I found that I had to think of my anxiety as something separate from my drinking. Abstaining simply does not fix the problem for me, and I've accepted that I will likely need to take meds for the rest of my life.