It is a very Aryan outlook that inner distictions are reflected by outer ones.Indeed they are both of the same ilk - inner/outer is no distinction in and of itself, but a difference of perspective.
Those who wish to make all men equal will argue that outer differences are meaningless; they seek to level all men.
Of course, we know that those outer differences are vitally important as they betoken their intimately connected inner differences and reflect different starting points, different disciplines and different breeding.
As the Duke of Wellington quipped, a dog being born in a stable does not make it a horse.
For the Aryan, the perfected type seen in say, ancient Greek sculpture, says far more than what is on the surface; it is about the perfection of a particular lineage and ancestors; the perfection of a particular race and the perfection of an intellect.

One should not run away with the idea that Nietzsche's critique of CERTAIN religions is a rejection of religion per se.

Also, I do not take Nietzsche's correct observation that man needs a purpose in order to live [i.e., flourish] to be a rejection of purpose!

We know that Nietzsche would far prefer the greater and lesser holy wars inherent in Islam, to the principles of ever more a-voidance contained in nihilism.

So I am saying that a Nihilist has no right to look down upon a Muslim - quite the reverse.