No, it would be easy to argue that, for a couple of reasons.
First, the Nazis despised religious practitioners of the religions previously common in their country (such as Lutheranism and Catholicism), and often threw ]u]them into concentration camps when they crossed them.
Second, the Nazis felt so little about religion that some Nazis felt free to invent a wholly bogus ‘civic religion’ based on Germanic paganism, though it lacked actual believers (Hitler himself thought it was silly).
Third, while the Nazis saw Jews as the enemy, they did not see them as a “religious” enemy - they cared not a jot about whether their victims converted to Christianity. They saw the Jews as a racial enemy - the worst but not the only one (they also hated Roma and Slavs). Previous religious anti-Jewish actions were often aimed at forcibly converting Jews - that was the role of the Inquisition, for example. In contrast, the Nazis sought to exterminate Jews based purely on a fake ‘genetic’ analysis - have a certain number of Jewish grandparents, and you were toast, no matter what “religion” you happened to worship (or none for that matter).
I don’t see any particular reason to rule out “dictator lead” violence, or make it a special case. If the Ayatollah of Iran orders gays and apostates to be murdered in the name of Islam, does that “count” as a religion-inspired atrocity? I would argue that it does. Similarly, if Stalin orders a couple of million “kulaks” to be murdered in the name of Marxist-Leninism, that “counts” as a non-religious inspired atrocity. The issue, I would have thought, is the relative danger posed by various ideologies measured honestly against each other - and in that measure, Religion comes out as penny-ante.
I disagree. If the question is “why does religion drive people to kill?”, it is perfectly cromulent to answer “all ideologies people believe in have the capacity to do that, and lately, the significance of religion as an ideological driver of killing has paled when compared to other, more malignant ideologies”.