  We consider a general problem of a Josephson contact between two multiband
superconductors with coexisting superconducting and magnetic phases. As a
particular example, we use the quasiclassical theory of superconductivity to
study the properties of a Josephson contact between two disordered
$s^{\pm}$-wave superconductors allowing for the coexistence between
superconductivity and spin-density-wave orders. The intra- and inter-band
scattering effects of disorder are treated within the self-consistent Born
approximation. We calculate the spatial profile of the corresponding order
parameters on both sides of the interface assuming that the interface has
finite reflection coefficient and use our results to evaluate the local density
of states at the interface as well as critical supercurrent through the
junction as a function of phase or applied voltage. Our methods are
particularly well suited for describing spatially inhomogeneous states of
iron-based superconductors where controlled structural disorder can be created
by an electron irradiation. We reveal the connection between our theory and the
circuit-theory of Andreev reflection and extend it to superconducting junctions
of arbitrary nature. Lastly, we outline directions for further developments in
the context of proximity circuits of correlated electron systems.
