The electroweak (EW) sector of the Minimal Supersymmetric Standard Model
(MSSM) can account for variety of experimental data. The lighest
supersymmetric particle (LSP), which we take as the lightest neutralino,
$\tilde \chi_1^0$, can account for the observed Dark Matter (DM)
content of the universe via coannihilation with the next-to-LSP
(NLSP), while being in agreement with negative results from
Direct Detection (DD) experiments. Owing to relatively small production
cross-sections a comparably light EW sector of the MSSM is also in
the unsuccessful searches at the LHC. Most importantly, the EW sector of the
MSSM can account for the persistent $3-4\,\sigma$ discrepancy between the
experimental result for the anomalous magnetic moment of the muon, $(g-2)_\mu$, and
its Standard Model (SM) prediction. Under the assumption that the $\tilde\chi_0^1$
provides the full DM relic abundance we first analyze which mass ranges of
neutralinos, charginos and scalar leptons are in agreement with all
experimental data, including relevant LHC searches.
We find an upper limit of $\sim 600$~GeV for
the LSP and NLSP masses.
In a second step we assume that the new result of the
Run~1 of the ``MUON G-2'' collaboration at Fermilab yields a precision
comparable to the existing experimental result with the same central
value. We analyze the potential impact of the combination of the Run~1 data with the existing \gmin2\ data on the allowed
MSSM parameter space. We find that in this case the upper limits
on the LSP and NLSP masses are substantially reduced by roughly $100$~GeV.
This would yield improved upper limits on these
masses of $\sim 500$~GeV.
In this way, a clear target could be set
for future LHC EW searches, as well as for future high-energy
$e^+e^-$~colliders, such as the ILC or CLIC.