The mediaeval idea of combining faith and reason got accepted to a large degree by the Litvak world. This came about because of the emphasis of Rav Israel Salanter of learning Musar, and musar is started with the Chovot Levavot and Saadia Gaon. Both were firmly in the Reason and faith camp.

But with the advent of the Enlightenment this approach took a beating. At that point you get enlightenment philosophers and anti enlightenment philosophers.  And the anti enlightenment ones are going with emotion, not faith. 

To answer modern day problems, I think we still need the Reason with Faith approach.