The static fluorescence quenching of pyrene by bromide, at the interface of mixed TTAC/TTAB discotic nematic lyotropic liquid crystals, allowed an estimation of the equilibrium constant for the exchange of chloride by bromide. The affinity of the interface for bromide is much higher than for chloride (K(Br-/Cl-) = 13.2). For a molecular level understanding of the experimental results of this and the preceding paper, 20 ns molecular dynamics (MD) simulations were calculated for samples with TTAB/TTAC molar percent ratios 100/0 (A), 50/50 (B) and 0/100 (C). The increment in the concentration of chloride induces a wider distribution of ammonium headgroups along the axis normal to the bilayer surface, increasing the width of the interface. The charge density profile of simulation B shows that the concentration of bromide is higher than the concentration of chloride in the vicinity the ammonium headgroups. The short range contribution to the electrostatic energy from the ammonium-ammonium repulsion is 291.7 kJ/mol for TTAC and 195.6 kJ/mol for TTAB, and the short range ammonium-halide interaction is -6166 kJ/mol for TTAC and -6607 kJ/mol for TTAB, from simulations A and C, respectively. These results are in agreement with a more neutralized TTAB interface. Consistently, the electric dipole moments of water are significantly more aligned with the larger electric field of the TTAB interface.