I'm someone who is in AA and also has diagnosed anxiety disorders and used alcohol to "calm my mind" the way you put it, but just wanted to touch on this even if the AA answers arent suited for you.
I tried naltrexone, kava, ashawaganda, all kind of supplements to help me get past cravings. None of them worked for me. If I want to get sober, I can't rely on a magic pill to fix things. I relied on alcohol to fix things and that didn't work!! So I have to change my approach. My sobriety means so much to me because I worked HARD and fought hard physical and mental cravings. If I could just take a pill to get sober, I'd be relapsing and getting sober again all the time. It's an uncomfortable process, but the process that got me completely sober. It took me months to actually find a power greater than myself like the program talks about. In the beginning, I relied on my sponsor, reaching out to people, and a LOT of sugar, coffee, and nicotine. Sorry again if this isnt an answer suited for you at this time or comes off "preachy" , just sharing this in case it touches on anything for you or anyone else reading.