Nothing is too little, too late. A native American Pastor told me that he and his brothers used to drank till they can't get up. Their Aunt is a Christian and she kept praying for them, pouring "Holy oil" on their head when they are too drunk to move, and later on all of them became Christians and he even became a pastor.
Our Church send missions to work with him every year, the condition is bad but they are very happy. The work is not always easy, one of the boy got drunk and beat the crap out of his girl friend before the end of a mission, the Pastor is getting old and want fresh blood to help him out. We pray that more and more native people who has drink problems change to new person in the love of Christ.