My thought--look throughout history. Religion, when mixed with politics, is used as a shield to knock back any resistance or questioning of methods or motives for what the government tries to do. It's used to keep those that question at a distance, and paints any dissenting parties as committing blasphemy and treason all at the same time, basically neutralizing any ideas contrary to the ruling religion.
People are less likely to complain or question someone (or really--some government) who claims a religion as their basis of rule, even when it's completely valid to do so. It takes away the masses ability to be logically skeptical of the government and what they do because it's kind of a taboo to question someone if they're doing it from a frame of reference of religion--it makes you look like you're downing the religion and not their methods or motives by which they rule. Democracy's supposed to be based on the free exchange of ideas on how to run things, and religious influence takes away the ability to feel comfortable enough for all of us to freely exchange those ideas.
IMO--religion + government = sure fire disaster & possible dictatorship. Democracy and religious rule cannot coexist, history has proven this, see both the major revolutions (French & American).
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