  We study the naturalness, dark matter, and muon anomalous magnetic moment in
the Supersymmetric Standard Models (SSMs) with a pseudo-Dirac gluino (PDGSSMs)
from hybrid $F-$ and $D-$term supersymmetry (SUSY) breakings. To obtain the
observed dark matter relic density and explain the muon anomalous magnetic
moment, we find that the low energy fine-tuning measures are larger than about
30 due to strong constraints from the LUX and PANDAX experiments. Thus, to
study the natural PDGSSMs, we consider multi-component dark matter and then the
relic density of the lighest supersymmetric particle (LSP) neutralino is
smaller than the correct value. We classify our models into six kinds: (i) Case
A is a general case, which has small low energy fine-tuning measure and can
explain the anomalous magnetic moment of the muon; (ii) Case B with the LSP
neutralino and light stau coannihilation; (iii) Case C with Higgs funnel; (iv)
Case D with Higgsino LSP; (v) Case E with light stau coannihilation and
Higgsino LSP; (vi) Case F with Higgs funnel and Higgsino LSP. We study these
Cases in details, and show that our models can be natural and consistent with
the LUX and PANDAX experiments, as well as explain the muon anomalous magnetic
moment. In particular, all these cases except the stau coannihilation can even
have low energy fine-tuning measures around 10.
