Booze makes you talk, I see that all the time on the reservation. I seen drunk people talk endlessly, going on and on and on, never stopping. Booze impaires your judgement and higher brain function, thus, as you just said, your anxiety goes away, when your drunk. Most of the talk I see from drunk people is just non sense, and seems quite random and boring. It can be dangerous if it involves violence and hate. Drunk people can do violent things to others.

You can do meaningful talk and conversation much better, when you are sober. If you want to be a genuine, confident person who is also nice, then stop drinking. As said above, Therapy can help with the anxiety, if it is to overwhelming and stops you from speaking from your heart.