  We study the magnetoconductivity induced by the axial anomaly via the chiral
magnetic effect in strongly coupled holographic models. An important ingredient
in our models is that the axial charge is non-conserved beyond the axial
anomaly. We achieve this either by explicit symmetry breaking via a
non-vanishing non-normalisable mode of an axially charged scalar or using a
Stuckelberg field to make the AdS-bulk gauge field massive. The DC
magnetoconductivites can be calculated analytically. They take a universal form
in terms of gauge field mass at the horizon and quadratic dependence on the
magnetic field. The axial charge relaxation time grows linearly with magnetic
field in the large $B$ regime. Most strikingly positive magnetoconductivity is
still present even when the relaxation times are short $\tau_5 \approx 1/(\pi
T)$ and the axial charge can not be thought of as an approximate symmetry. In
the $U(1)_A$ explicit breaking model, we also observe that the axial magnetic
conductivity in the limit of strong symmetry breaking approaches the same
universal value as for anomalous holographic superconductors in the zero
temperature limit.
