  Ab-initio and continuum model studies predicted that the $\Gamma$ valley
transition metal dichalcogenide (TMD) homobilayers could simulate the
conventional multi-orbital Hubbard model on the moir\'e Honeycomb lattice.
Here, we perform the Wannierization starting from the continuum model and show
that a more general Kanamori-Moir\'e-Hubbard model emerges, beyond the
extensively studied standard multi-orbital Hubbard model, which can be used to
investigate the many-body physics in the $\Gamma$ valley TMD homobilayers.
Using the unrestricted Hartree-Fock and Lanczos techniques, we study these
half-filled multi-orbital moir\'e bands. By constructing the phase diagrams we
predict the presence of an antiferromagnetic state and in addition we found
unexepected and dominant states, such as a S = 1 ferromagnetic insulator and a
charge density wave state. Our theoretical predictions made using this model
can be tested in future experiments on the $\Gamma$ valley TMD homobilayers.
