My guess would be your guess is right.
I think you'd be giving yourself a much better shot with getting rid of the alcohol. For me after a time even small amounts of alcohol would really exacerbate my anxiety.
I agree with EndGame, seeing the dr would be a great idea.
I hope you can get yourself some sober time under your belt. If you find after a time your anxiety doesn't decrease with sobriety, then you can further manage that with your dr, mental health professionals and lifestyle changes.
Glad you are here
Sr is a great place with a lot of great reading and resources. Look around at the stickies in the newcomers forum, as well as the alcoholism forum. You will get lots of good advice and support here.