In "The value of uncertainty" I quoted Feynman on the value of uncertainty—that it's a positive value to be willing to live without knowing anything for sure. This is something that would be difficult for most religious thinkers, especially naive religious thinkers, to accept. But it need not be incompatible with religion.
First of all, the uncertainty need only apply to the secular world. One need not insist on holding that uncertainty in faith is a good.
Secondly, one can point to biblical pronouncements that man should hold dominion over everything he sees and that he should be a good steward of the land. To be faithful to those pronouncements one should understand that over which one is expected to exercise wise stewardship. To achieve that understanding requires science. And to be successful at science (as Feynman says) requires that one welcome doubt and never insist that today's answer is necessarily the answer forever.
So there is a religious argument for secular doubt. It would be very beneficial for this country if that argument would be made by respected religious leaders. To the best of my knowledge it hasn't been. At best enlightened religious leaders have said that science is not incompatible with religion. But none of them (as far as I know) have argued that science—and therefore secular doubt—is a religious good.