  We prove some conditions for higher dimensional algebraic fibering of pro-$p$
group extensions and we establish corollaries about incoherence of pro-$p$
groups. In particular, if $G = K \rtimes \Gamma$ is a pro-$p$ group, $\Gamma$ a
finitely generated free pro-$p$ group with $d(\Gamma) \geq 2$, $K$ a finitely
presented pro-$p$ group with $N$ a normal pro-$p$ subgroup of $K$ such that $K/
N \simeq \mathbb{Z}_p$ and $N$ not finitely generated as a pro-$p$ group, then
$G$ is incoherent (in the category of pro-$p$ groups). Furthermore we show that
if $K$ is a free pro-$p$ group with $d(K) = 2$ then either $Aut_0(K)$ is
incoherent (in the category of pro-$p$ groups) or there is a finitely presented
pro-$p$ group, without non-procyclic free pro-$p$ subgroups, that has a
metabelian pro-$p$ quotient that is not finitely presented i.e. a pro-$p$
version of a result of Bieri-Strebel does not hold.
