  We build a new phenomenological framework that bridges the long wavelength
bulk viscous transport properties of the strongly-coupled quark-gluon plasma
(sQGP) and short distance hard jet transport properties in the QGP. The full
nonperturbative chromo-electric (E) and chromo-magnetic (M) structure of the
near "perfect fluid" like sQGP in the critical transition region are integrated
into a semi-Quark-Gluon-Monopole Plasma (sQGMP) model lattice-compatibly and
implemented into the new CUJET3.0 jet quenching framework. All observables
computed from CUJET3.0 are found to be consistent with available data at RHIC
and LHC simultaneously. A quantitative connection between the shear viscosity
and jet transport parameter is rigorously established within this framework. We
deduce the $T=160-600$ MeV dependence of the QGP's $\eta/s$: its near vanishing
value in the near $T_c$ regime is determined by the composition of E and M
charges, it increases as $T$ rises, and its high $T$ limit is fixed by color
screening scales.
