  We examine the infra-red structure of soft supersymmetry breaking masses of
the squarks and sleptons in supersymmetric (SUSY) strong unification schemes
where $\alpha_{GUT}\sim 0.2-1$. We show that combinations of soft masses
approach fixed points which leads to very simple predictions for soft masses at
the intermediate scale. The assumption that the high energy gaugino mass
$M_{1/2}$ dominates over the soft scalar masses leads to a strong suppression
of flavour changing neutral currents, and a low energy SUSY spectrum which is
simply predicted in terms of two parameters, namely $\alpha_{GUT}$ and
$M_{1/2}$. Due to the quickly falling gauge couplings beneath the high energy
scale, the low energy spectrum has a characteristic ``scalar dominated''
signature quite unlike the standard gaugino dominated MSSM where the
right-handed sleptons are predicted to be rather light. We also examine the new
sources of flavour changing expected in such models, and in particular show
that the flavour violation coming from the D-term of a $U(1)_X$ gauged family
symmetry may be reduced to an acceptable level.
