  An in-plane magnetic field applied to an Ising superconductor converts
spin-singlet Cooper pairs to spin-triplet ones. In this work, we study a
Josephson junction formed by two Ising superconductors that are proximitized by
ferromagnetic layers. This leads to highly tunable spin-triplet pairing
correlations which allow to modulate the charge and spin supercurrents through
the in-plane magnetic exchange fields. For a junction with a nonmagnetic
barrier, the charge current is switchable by changing the relative alignment of
the in-plane exchange fields, and a $\pi$-state can be realized. Furthermore,
the charge and spin current-phase relations display a $\phi_0$-junction
behavior for a strongly spin-polarized ferromagnetic barrier.
