Would you exclude a known unbeliever from attending a church service because he might join in congregational singing or perform other elements of the liturgy? No. You would rejoice that he witnessed the service and hears the Gospel. Would you leave your unbelieving child at home, fearing that he might sin grievously in hypocrisy? No. Will you reject evangelism because non-Christians sin when they reject the Gospel? No. The fact that cultural Christianity leads unregenerate people to sin is no reason in itself to repudiate it.