Possible brain damage (wernicke) from 4 year period of alcohol abuse. Eyes are suddenly misaligning and one turning out. What kind of doctor do I need?

ER or Neurologist. Triad of wernicke involves: eye movement problems, change in mental status and gait disturbance. If you are symptoms are sudden onset, you may need to go to the er for more urgent reasons such as stroke. I do not want to overly concern you. But if your diet is primarily alcohol, then your nutritional stays is most likely poor. If your eyes are still misaligned, please go to an er facility.