  We investigate the equisingularity question for $1$-parameter deformation
families of mixed polynomial functions $f_t(\mathbf{z},\bar{\mathbf{z}})$ from
the Newton polygon point of view. We show that if the members $f_t$ of the
family satisfy a number of elementary conditions, which can be easily described
in terms of the Newton polygon, then the corresponding family of mixed
hypersurfaces $f_t^{-1}(0)$ is Whitney equisingular (and hence topologically
equisingular) and satisfies the Thom condition.
