> The Holocaust was carried out by people who had to invent their own religions (their variant of neo-paganism and "positive Christianity") to have religions that could be reconciled with their ideology. Their ideas were more rooted in "racial science" than anything else.

Some of them thought they had to invent or resurrect such religions to sell their movement to the masses, yes. That movement's actual religion was that ideology and racial "science"; it kind of was its own religion. (Not that this is exclusive to nazism / fascism; the same goes for communism.)