Can flavor-independent supersymmetric soft phases be the source of all CP violation?

Recently it has been demonstrated that large phases in softly broken supersymmetric (SUSY) 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-Cabibbo-Kobayashi-Maskawa mixing) is required for consistency with B and K system observables.