Why do religions have such a complex complex complex relationship with extreme right ideas?

Why do religions have such a complex complex complex relationship with extreme right ideas? German fascism, Italian fascism, Spanish fascism and for example Croatia (though closely bound to German fascism) also got support from religious institutions. In my country I am a little bit afraid of the extreme right party and the religious party would come together in the next election. They removed a part of their policy where they said they would not rule together with fascists and I guess that is in preparation for this. I don't think the religious people really like the fascists really but I think they might support or be willing to collaborate with them. I've kind off hoped for some kind of higher moral but the lection in the US is also very weird how so many religious people support what I would assume is people who are not really compatible with love and compassion. Why does this seem to be a pattern? What am I missing?