The general approach of the Gra was no matter what the troubles are the answer is always just one thing: to learn Torah. This I would have to agree with even though I would expand the definition of learning Torah to include Physics and Metaphysics. That is well defined in the Guide for the Perplexed as referring to these subjects of the ancient Greeks. [Also on the first page of the Obligations of the Heart.] Metaphysics is not mysticism.

So the minimum would be to get through the two Talmuds, and the basic Physics up to String Theory. Metaphysics though I have a hard time to figure out what ought to be included. I am thinking besides Aristotle's books to include Kant and Leonard Nelson.