  We consider the interplay of the muon $g-2$ anomaly and the proton decay in
the SUSY SU(5) GUTs with generation-independent scalar soft masses. In these
scenarios, we introduce a number of $\bf 5+{\bar 5}$ messenger fields with
doublet-triplet splitting in general gauge mediation to transmit SUSY breaking
to the visible sector by gauge loops. As a result, squarks and sleptons receive
generation-independent soft SUSY breaking masses, which are split already at
the messenger scale. Taking into account the perturbative unification of gauge
couplings as well as the bounds from electroweak precision and vacuum stability
bounds, we showed the parameter space in general gauge mediation to explain the
muon $g-2$ anomaly with smuon and sneutrino loops while evading the strong
bounds on squarks and gluinos from the Large Hadron Collider. We also obtained
the dominant Higgsino contributions to the proton decay mode, $p\to
K^+{\bar\nu}$, with general generation-independent sparticle masses for squarks
and sleptons. Even for split scalar soft masses in our model, however, we found
that the bounds from the proton decay are satisfied only if the effective
Yukawa couplings of the colored Higgsinos are suppressed further by a factor of
order $10^{-4}-10^{-3}$. We illustrated how such a suppression factor is
realized in orbifold GUTs in the extra dimension where the colored Higgsinos in
the bulk are not coupled to the matter fields localized at the orbifold fixed
points at the leading order.
