Classical education had, as one of its major goals, the object of imparting virtue to pupils. Even the ancient Greeks argued about how to do this. Others thought that virtue had to be learned externally. The more you know about the right way to act, the more you should act that way. I think the ancient Greeks would agree with that principle.
Classical education is academically rigorous.
You can focus on external, quantifiable knowledge, and never approach the classical emphasis on virtue. The Biblical emphasis is on wisdom. This is not true. If you have a Online Bible or a similar program, you can take a week and do a quick study for yourself. In nearly every case, Wisdom comes first.