I really wouldn't go this far, there is _way_ too much religion in US politics for proper separation of church and state. When elected politicians regularly quote religious documents in their reasoning for making decisions, agreeing and disagreeing with others, etc. you can't claim a theocracy isn't on the cards.
No, it has not. But you cannot deny that religion being a visible, daily, part of politics, and being very often quoted as justification for political, and even worse, judicial decisions, is closer to a theocracy than it is to separation of church and state.