  We consider effective Lagrangian models of CP-violating vertex structure in
which a $b -> uW$ vertex, proportional to $s_{13}e^{-i\delta_{13}}$ with
$s_{13}$ very small (milliweak interaction) and $\delta_{13}$ large, is
dynamically generated. A consequent, enhanced CP-violating vertex for $b\to sg$
results in an enhanced CP-violating phase in the ratio of amplitudes for $\bbar
\to \phi \KS$. We estimate that this can significantly change the $S$ parameter
from the value expected in the standard model.
