need to double check my mandarin translation?

Hi, I am looking to find a translation of the term "Religious extremist" to Mandarin, and I am a bit reluctant to trust an online translator.
宗教极端主义 – This is what the online translator gave me when I asked for "religious extremist" to be translated.

I also liked this: 政教合一 which the translator says means "union of religious and political rule / theocracy / Caesaropapism"

If anyone could confirm these translations (or offer alternatives if they are found wanting), I would be greatly appreciative

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