I am glad you are working with a doctor - are the benzos prescribed to prevent seizures? Or are they for anxiety? Either way the only way out of this is to quit drinking. I would recommend talking to a doctor about detox options if you are scared.
I have experienced your symptoms of anxiety and sweating after stopping alcohol, and I have also been prescribed benzos. I have also had 3 withdrawl seizures. Before and during that time I had been prescribed benzos for anxiety. I was taking them but upon alcohol withdrawl it wasn't enough and I still ended up in the ER twice. I almost bit my tongue off during one of them and had 15 stitches. I was told that the next seizure could kill me. Detox followed by an in-patient program worked for me.