  We re-examine the possibility that the solution to the supersymmetric flavor
problem is related to small mixing angles in gaugino couplings induced by
approximate horizontal Abelian symmetries. We prove that, for a large class of
models, there is a single viable structure for the down quark mass matrix with
four holomorphic zeros. Consequently, we are able to obtain both lower and
upper bounds on the supersymmetric mixing angles and predict the contributions
to various flavor changing neutral current processes. We find that the most
likely signals for alignment are $\Delta m_D$ close to the present bound,
significant CP violation in $D^0-\bar{D^0}$ mixing, and shifts of order a few
percent in various CP asymmetries in $B^0$ and $B_s$ decays. In contrast, the
modifications to radiative B decays, to $\epsilon^\prime/\epsilon$ and to
$K\to\pi\nu\bar\nu$ decays are small. We further investigate a new class of
alignment models, where supersymmetric contributions to flavor changing
processes are suppressed by both alignment and RGE-induced degeneracy.
