  Using the CUJET3=DGLV+VISHNU jet-medium interaction framework, we show that
dijet azimuthal acoplanarity in high energy $A+A$ collisions is sensitive to
possible non-perturbative enhancement of the jet transport coefficient,
$\hat{q}(T,E)$, in the QCD crossover temperature $T\sim 150-300$ MeV range.
With jet-medium couplings constrained by global RHIC\& LHC $\chi^2$ fits to
nuclear modification data on $R_{AA}$, we compare predictions of the medium
induced dijet transverse momentum squared, $Q_s^2\sim \langle \hat{q} L \rangle
\sim \Delta\phi^2 E^2$, in two models of the temperature, $T$, and jet energy
$E$ dependence of the jet medium transport coefficient, $\hat{q}(T,E)$. In one
model, wQGP, only perturbative quark and gluon dof are assumed. In the second
model, sQGMP, nonperturbative three component semi-Quark-Gluon and Magnetic
Monopole dof are asssumed. We show that the dijet path averaged medium induced
azimuthal acoplanarity, $\Delta\phi^2$, in sQGMP is robustly a factor of $\sim
2$ larger than in perturbative wQGP while the radiative energy loss in both
models is nearly identical as required to fit the same single jet nuclear
modification $R_{AA}$ data. Future A+A dijet acoplanarity measurements
correlated with $R_{AA}$ and azimuthal asymmetry $v_n$ measurements therefore
appears to be a promising strategy to search for possible signatures of
critical opalescence like phenomena in the QCD confinement temperature range.
