Allan Bloom in The Closing of the American Mind pointed out the problem with USA universities. Maybe it all starts from philosophy as Ayn Rand suggested. If Ayn Rand is right the place to begin would be a different kind of Philosophy program. My suggestion would be the steps leading to the Kant Fries School of thought. That is Plato, Aristotle, Plotinus, Kant, Hegel, Leonard Nelson.
But to ignore philosophy does not seem like a good idea. The Mediaeval approach to combine faith and reason seems like to the best idea to me.