  We argue that in certain models with family symmetries the implementation of
the alignment mechanism for the supression of the flavor changing neutral
currents requires mass matrices with holomorphic zeros in the down quark
sector. Holomorphic zeros typically open flat directions that potentially spoil
the uniqueness of the supersymmetric vacuum. We then present an anomalous U(1)
model without holomorphic zeros in the quark sector that can reproduce the
fermion mass hierarchies, provided that $\tan{\beta}$ is of order one. To avoid
undesired flavor changing neutral currents we propose a supersymmetry breaking
mechanism and a dilaton stabilization scenario that result in degenerate
squarks at $M\sim M_{GUT}$ and a calculable low energy spectrum. We present the
numerical predictions of this model for the Higgs mass for different values of
$M$ and $\tan{\beta}$.
