In general, cirrhosis is not reversible at the current time. There are drugs being tested to reverse cirrhosis, but they are not available as yet.
Liver function improves on stopping alcohol, but the full benefit is seen in 6-9 months.
In our hands patients with cirrhosis and impaired function (as measured by Child-Pugh class -B, C. Your doctor can calculate these scores for you and determine the class of liver disease) do not do well with cardiac surgery. They have an increased risk of dying, as well as complications.