  We calculate and explore the moduli potential for M-Theory compactified on
G_2-manifolds in which the superpotential is dominated by a single membrane
instanton term plus one from an asymptotically free hidden sector gauge
interaction. We show that all moduli can be stabilized and that hidden sector
gauge symmetries can be Higgsed at a high scale. We then compute the spectrum
of superpartner masses at the GUT scale and evolve it to the electroweak scale.
We find a spectrum which is very similar to the G_2-MSSM with light gauginos -
accessible at the LHC - and a neutral wino dark matter candidate.
