Even damaged livers do well as long as the poisons are removed. You can live with so much less than we have permanent damage will stay but the rest can work and get better.
Don't let your worry destroy the good your doing and start again.
Oh and to answer your question YES I think we all do the same, time will help you with out a doubt both in physical and mental stress. It's also normal to have bouts of doubt even after getting yourself together, it'll get better.
Go see GP tell them you've given up drinking and worried they will always take it easier as theyd rather know than not and they can help including simple blood tests to reassure.
Just keep on getting stronger.
Love John.