  Recently it has been demonstrated that large phases in softly broken
supersymmetric theories are consistent with electric dipole moment constraints,
and are motivated in some (Type I) string models. Here we consider whether
large flavor-independent soft phases may be the dominant (or only) source of
all CP violation. In this framework $\epsilon$ and $\epsilon'/\epsilon$ can be
accommodated, and the SUSY contribution to the B system mixing can be large and
dominant. An unconventional flavor structure of the squark mass matrices (with
enhanced super-CKM mixing) is required for consistency with B and K system
observables.
