no its not slayer,
the
INQ codex literally says you treat it
as
A is allied with B and C, three sets of allies,
one cannot have three allies, and claim that "only these two are allied, and these two"
from the codex
Note that the Inquisitorial detachment may have a different relationship to the models from an army’s primary detachment, and the models that make up that army’s ‘regular’ allied detachment (assuming there are any). For example, if an Inquisitor was part of an army where the primary detachment were Imperial Guard and the allied detachment were from the Tau Empire, then the Inquisition would treat the Guard as Battle Brothers, and the Tau as Desperate Allies.
so in this case, you would treat the
IG as BB, and the chaos as "come the apocalypse" IE cant do it...
as much as i WANT you to be able to BOOOOOO