The 1+1D model of quantum chromodynamics (QCD) in the infinite number of colors, or 't Hooft model, can be interpolated between the instant form dynamics (IFD) and the light-front dynamics (LFD) using an interpolation parameter $0$ (IFD) $\le \delta \le \pi/4$ (LFD). This was realized in the interpolating axial gauge which links the axial gauge ($A^1$ = 0) in IFD and the light-front gauge ($A^+$ = 0) [1]. In this presentation, we discuss the corresponding realization in the interpolating Coulomb gauge which links the temporal gauge ($A^0$ = 0) in IFD and the light-front gauge ($A^+$ = 0) and its benefit of resolving the issue associated with the absence of the conjugate field to the gauge field $A^0$ in the axial gauge. In both gauges, all degrees of freedom are physical making these gauge choices ideal for finding the bound-state equations and for renormalizability. Although the gauge independence of the physical observables such as the meson mass spectra following Regge trajectories may be guaranteed due to the gauge symmetry of QCD, the realization and interpretation of the identical physical results may depend on the gauge choices. Here, we discuss such difference in the realization of the confinement phenomena $\textit{ala}$ linear potential
in the two different gauges, Coulomb vs. Axial, and highlight the gauge independent physical results expected.
We also comment on the utility of the interpolation which leads to an alternative quasi-PDF that can be implemented in the lattice QCD without suffering from the large momentum boost.