I don't know, A lot of conservatives I know are rather moderate and centrist. Some are center-right, others center-left. But A lot of them are moderates. Its the US conservatives that are so far right.
The thing is I view myself as a Conservative but according to that I am more left. Also, I am rather anti-democracy (Although I understand it is a rather good thing) so I would have thought I would be more authoritarian.
Well, imo you shouldn't have to think about it too much. All you have to do is ask yourself what you would do and you have your answer. Now, I understand that for some people their stance on something might change now and then, and that is something that could change it if you take it again. But if you believe strongly about what you think politically, it should be basically the same each time. Maybe very slightly different but not like far-left one day then centrist the next kind of stuff.
The one in my sig is the one I prefer. I took the other one too and it said I was more left and less Libertarian. I like the one I use because the questions are more specific and there are more of them. Plus, the other one seems more about American politics rather than just politics in general like the one I use.