The article, "Bible Reading in Public Schools, History of Before and after Abington School District v. Schempp," gives a brief overview of how Bible reading was prevalent in school education to instill morality and a sense of good government and other things until the mid-twentieth century. A number of groups worked hard to eliminate Bible reading in school and were fairly successful by the mid-1960s. However, there are movements to bring Bible reading back into public education like "Texas proposal would give schools the option to use Bible teachings in lessons":
Texas public schools could use teachings from the Bible in lessons as an option for students from kindergarten through fifth grade under a proposal that drew hours of testimony Monday and follows Republican-led efforts in other states to incorporate more religious teaching into classrooms.
Teachers and parents gave impassioned testimony for and against the curriculum plan at a meeting of the Texas State Board of Education, which is expected to hold a final vote on the measure later this week.
The curriculum — designed by the state’s public education agency — would allow teachings from the Bible such as the Golden Rule and lessons from books such as Genesis into classrooms. Under the plan, it would be optional for schools to adopt the curriculum though they would receive additional funding if they did so.
God's word is alive and active, as Hebrews:4:12For the word of God is quick, and powerful, and sharper than any twoedged sword, piercing even to the dividing asunder of soul and spirit, and of the joints and marrow, and is a discerner of the thoughts and intents of the heart.
See All... asserts, but it can also be reduced to being little more than lessons in being good neighbors and diminishing the central point and thrust of Scripture. Can children be brought to the place of seeing it as little more than a book of etiquette and simply become better-behaved sinners but never redeemed to eternal life? It is a difficult question to answer.