We study the moduli space of the McKay quiver representations associated to the binary polyhedral groups G< SU(2)< SU(3). The derived category of such representations is equivalent to the derived category of coherent sheaves on the corresponding ADE resolution Y = G-Hilb(C^3). By making particular choices of parameters in the space of stability conditions on the equivalent derived categories above, we recover Donaldson-Thomas (DT), Pandharipande-Thomas (PT) and Szendroi (NCDT) moduli spaces, and prove a wall crossing formula relating the corresponding invariants. We also compute the Gromov-Witten (GW) partition function of Y directly and verify the conjectural GW/PT/DT/NCDT-correspondence by assuming the DT/PTcorrespondence which has been proven recently. The NCDT invariants in this case are the same as the orbifold Donaldson-Thomas invariants for C^3/G. This allows us to verify the Crepant Resolution Conjecture for the orbifold Donaldson-Thomas theory in this case.