SoberCouch, if anti-depressants can help you with illogical anxiety, then give yourself a break as long as you have confidence in your doctor.
I've taken them for years and although they don't 'cure' depression they take the edge off anxiety, and have given me much better quality of life. Alcohol/sobriety was neither here nor there when it came to how they affected me.
Just my experience. We beat ourselves up about so much.