Well, I'm thinking in terms of internal mental constructs, not
methodologies. Humans have a need for certainty and an ability
to anticipate the future. Awkwardness and uncertainty is
something we tend to rebel against, although it seems to be a
part of the human condition.
As a science, religions generally do a terrible job, woefully
unsuited, although when performing at their best, they can be
functionally adequate for psychology, anthropology and
transmitters of enculturated values.
As a religion, the sciences are becoming less terrible at it,
although modern science advocates have a bit of an Evangelical
bend to it, not having quite reached the maturity of ancient
councils of Orthodoxy. In short, I don't think the sciences are
quite ready to lead societies in quite the way that religions
have in the past, although the sciences make excellent advisers.
Still, I hope for a better alternative for religions or politics
to lead nations into the future and look forward to the sciences
maturing enough in their cooperation to afford them leadership
roles in future societies.
Although honestly, I think as head-of-state, I'd prefer a
Librarian.