Oh, the left has serious discussions about theocracy and the likes, and doesn't just accuse anyone they think as overly Christian of being a theocrat..?
I do not really believe that because I think I have seen the opposite.
I don't even understand what you're typing.
The "Left" is a rather large group. Ranging from the US calls left to people like me. And believe me, Bernie Sanders is not "Left", compared to me (I, for example, would nationalise all utilities and open every border).
A theocracy is nothing more than a country ruled by the laws of religion, with a religious political leader.
I don't know what overly Christian means. Is it a comparison between someone who's Christian living in a Hindu nation and is over-compensating... I dunno, by carrying a cross around on his back the whole time?
Or do you mean a Christian who believes in the exact word of the bible (basically a Calvinist or, at a stretch, Catholic Opus Dei)? They are fundamentalists.
If you mean a Christian who wishes the exact word of the bible to be the law and wishes to replace the current government by a ruler from the faith... then, yes, that would be a theocrat.