You're wrong in agreeing that it does not, democracy is a perverted form of government (see Aristotle). That's why most countries implement a constitutional republic or something similar instead.
I'm not 100% sure, but since you're using a de domain, you probably have to include legal information in your about page: https://en.wikipedia.org/wiki/Impressum
This is precisely not what Brooks meant by 'plan to throw one away'. Brooks point is, that you gather information while writing your prototype and incorporate the new-found knowledge into your second, hopefully sound, design.
Rees never learned anything new from the first system (what could he learn anyway, what he described sounds like a nightmare), but proceeded to implement it from scratch.
Funny thing, I'm reading 'The Mythical Man-Month' right now :D
Also, the absurdity of expecting facts from a comedy show has been brought to my attention just recently. All in all, what a great first comment on this site ; )
Anyway, I'd argue there is an obvious atmosphere of disgust. The voice-over before the first interview segment states her philosophy amounts to being a selfish asshole.
See the relevant part of the interview: https://www.youtube.com/watch?v=pFy9A7WEzPA#t=104 from 1:45 to around 3:40.
The net result is the impression that everything she's saying is basically bullshit. It seems to me that it's considered unacceptable to refer to her ideas.
Last Week Tonight is a great show, but this piece made me think about it... if he misrepresents Ayn Rand so blatantly, how accurate is he on other topics?
I haven't read Atlas Shrugged, instead opting for her non-fictional works. I'd recommend Capitalism: The Unknown Ideal as a reasonably concise introduction to her philosophy.