  We present a unified theory of charge carrier transport in 2D Dirac systems
with broken mirror inversion and time-reversal symmetries (e.g., as realized in
ferromagnetic graphene). We find that the entanglement between spin and
pseudospin SU(2) degrees of freedom stemming from spin-orbit effects leads to a
distinctive gate voltage dependence (change of sign) of the anomalous Hall
conductivity approaching the topological gap, which remains robust against
impurity scattering and thus is a smoking gun for magnetized 2D Dirac fermions.
Furthermore, we unveil a robust skew scattering mechanism, modulated by the
spin texture of the energy bands, which causes a net spin accumulation at the
sample boundaries even for spin-transparent disorder. The newly unveiled
extrinsic spin Hall effect is readily tunable by a gate voltage and opens novel
opportunities for the control of spin currents in 2D ferromagnetic materials.
