  We prove uniform north-south dynamics type results for the action of
$\varphi\in Out(F_{N})$ on the space of projectivized geodesic currents
$\mathbb{P}Curr(S)=\mathbb{P}Curr(F_{N})$, where $\varphi$ is induced by a
pseudo-Anosov homeomorphism on a compact surface S with boundary such that
$\pi_{1}(S)=F_{N}$. As an application, we show that for a subgroup $H\le
Out(F_N)$, containing an iwip, either $H$ contains a hyperbolic iwip or $H$ is
contained in the image in $Out(F_N)$ of the mapping class group of a surface
with a single boundary component.
