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So Creationists argue that the complexity of the world around us
is evidence of a designer.  Such inter-connectedness requires a
plan, and a plan requires a consciousness.  Darwinists retort
that systems are capable of self-organization, over time.  Aside
from time, what is the difference between these arguments?

There is no argument at all -- only a tautology.  Complexity is
evidence of complexity, call it what you will.  The reasoning of
the Creationists requires an infinite regress of designers, while
Darwinists assume that consciousness arises through some process
other than self-organization.  If it took me a billion years to
design the Earth, will Darwinists say this does not still amount
to menacing intelligence?  A term like 'emergent behavior' -- how
much better is it than 'magic' or 'god' at this point?  

Flavors of Creationism link the above with ancient documents.
This is another matter entirely, for which tender therapy is the
only reasonable indication.