  In the supersymmetric scenario known as mirage mediation (MM), the soft SUSY
breaking terms receive comparable anomaly-mediation and moduli-mediation
contributions leading to the phenomenon of mirage unification. The simplest MM
SUSY breaking models which are consistent with the measured Higgs mass and
sparticle mass constraints are strongly disfavoured by fine-tuning
considerations. However, while MM makes robust predictions for gaugino masses,
the scalar sector is quite sensitive to specific mechanisms for moduli
stabilization and potential uplifting. We suggest here a broader setup of
generalized mirage mediation (GMM), where heretofore discrete parameters are
allowed as continuous to better parametrize these other schemes. We find that
natural SUSY spectra consistent with both the measured value of m(h). as well
as LHC lower bounds on superpartner masses are then possible. We explicitly
show that models generated from natural GMM may be beyond the reach of even
high-luminosity LHC searches. In such a case, the proposed International Linear
e^+e^- Collider (ILC) will be required for natural SUSY discovery via higgsino
pair production reactions. We also outline prospects for detection of
higgsino-like WIMPs from natural GMM.
