  We utilize a previously constructed thermodynamic $T$-matrix approach to the
quark-gluon plasma (QGP) to calculate Wilson line correlators (WLCs) of a
static quark-antiquark pair and apply them to the results from 2+1-flavor
lattice-QCD (lQCD) computations with realistic pion mass. The self-consistent
$T$-matrix results, which include constraints from the lQCD equation of state
in the light-parton sector, can describe the lQCD data for WLCs fairly well
once refinements of the input parameters are implemented. In particular, the
input potential requires less screening than used in previous $T$-matrix
analyses. Pertinent predictions for the spectral and transport properties of
the QGP are discussed, including the spatial diffusion coefficient for heavy
quarks which turns out to have a rather weak temperature dependence, in
approximate agreement with recent lQCD results.
