  We investigate fast rotating quasi-two-dimensional dipolar Fermi gases in the
quantum Hall regime. By tuning the direction of the dipole moments with respect
to the z-axis, the dipole-dipole interaction becomes anisotropic in the $x$-$y$
plane. For a soft confining potential we find that, as we tilt the angle of the
dipole moments, the system evolves from a $\nu = 1/3$ Laughlin state with
dipoles being polarized along the z axis to a series of ground states
characterized by distinct mean total angular momentum, and finally to an
anisotropic integer quantum Hall state. During the transition from the
fractional regime to the integer regime, we find that the density profile of
the system exhibits crystal-like structures. We map out the ground states as a
function of the tilt angle and the confining potential, revealing the
competition of the isotropic confining potential and both the isotropic and
anisotropic components of the dipole-dipole interaction.
