  Strong electron correlation and spin-orbit coupling (SOC) provide two
non-trivial threads to condensed matter physics. When these two strands of
physics come together, a plethora of quantum phenomena with novel topological
order have been predicted to emerge in the correlated SOC regime. In this work,
we examine the combined influence of electron correlation and SOC on a
2-dimensional (2D) electronic system at the atomic interface between
magic-angle twisted bilayer graphene (tBLG) and a tungsten diselenide (\WSe)
crystal. In such a structure, strong electron correlation within the moir\'e
flatband stabilizes correlated insulating states at both quarter and
half-filling, whereas SOC transforms these Mott-like insulators into
ferromagnets, evidenced by robust anomalous Hall effect with hysteretic
switching behavior. The coupling between spin and valley degrees of freedom is
unambiguously demonstrated as the magnetic order is shown to be tunable with an
in-plane magnetic field, or a perpendicular electric field. In addition, we
examine the influence of SOC on the isospin order and stability of
superconductivity. Our findings establish an efficient experimental knob to
engineer topological properties of moir\'e bands in twisted bilayer graphene
and related systems.
