Its genocidal ideology is rooted in religious fanaticism
No, it's rooted in the political ideology of colonialism. There's significant overlap, sure, but that DOESN'T make colonialism a religious thing.
In fact, Israel is an excellent example of how irreligious the foundation of colonialism is: even though the religion is different than those of other colonial projects, the basic justifications, deflections, and modes of government are essentially similar.
If colonialism had been about religion, Jewish supremacist apartheid would have been MUCH more different than the Protestant and Catholic white supremacist colonialism og the past.
Incidentally, all fascism works just like somewhat similarly to religion
Fixed it for you. While there's far too much overlap for comfort, there are still significant differences between a religious cult and a political cult such as Fascism
by sanctifying the state with iconography and dogmas of demagoguery and rebirth.
Not really, no. It's more about collapsing state authority, religion, societal norms, and bogeymen into one easy to inhale but extremely difficult to expel poison.
Fascism is a kind of religion
Nope. It has several things in common with and is almost always working in concert with religion, but it is not itself a religion.
the organized variety of the latter softens up the population for the former.
That's accurate, though. You can't be a fascist without being extremely reactionary, and organized religion is probably the biggest source of reactionary thinking in existence.