  In a large class of supersymmetric SO(10) and left-right models, requiring
that the effective theory below the scale of $SU(2)_R$ breaking be the MSSM
implies partial Yukawa unification with $Y_u=Y_d$ and $Y_e=Y_{\nu^D}$. The same
result also emerges in models with a horizontal $SU(3)_H$ symmetry. As a
result, at the tree level, these models lead to vanishing quark mixing angles.
We show that the correct mixing pattern can be generated in these models at the
loop level from the flavor structure associated with the supersymmetry breaking
terms. We generalize the constraints on supersymmetric parameters from flavor
changing neutral current (FCNC) processes to include several squark mass
insertions and confirm the consistency of the scheme. The expectations of this
scheme for CP violating observables in the $B$ meson system are quiet different
from the KM model, so it can be tested at the B factories.
