As you can well imagine, gentle readers, this argument has never satisfied me. I know that is a surprise to you, but it is true. Really, it is. So I was happy to find the following passage where Migliore helpfully distinguishes between fideism on the one hand and faith-seeking-understanding on the other. After all, what we Barthians want is a thorough version of the latter.
Daniel L. Migliore, Faith Seeking Understanding, 3.
Christian faith is at bottom trust in and obedience to the free and gracious God made known in Jesus Christ. Christian theology is this same faith in the mode of asking questions and struggling to find at least provisional answers to these questions. Authentic faith is no sedative for world-weary souls, no satchel full of ready answers to the deepest questions of life. Instead, faith in God revealed in Jesus Christ sets an inquiry in motion, fights the inclination to accept things as there are, and continually calls in question unexamined assumptions about God, our world, and ourselves. Consequently, Christian faith has nothing in common with indifference to the search for truth, or fear of it, or the arrogant claim to possess it fully. True faith must be distinguished from fideism. Fideism says there comes a point where we must stop asking questions and must simply believe; faith keeps on seeking and asking.As always, the emphasis is mine.