Derech Hamelech-
Not that it couldn’t be done just that it would take too long.
I must disagree with you. The Rambam goes so far as to say that Aristotle got it right for someone who didn’t have the tradition we do. He explains with a mashal of a man who grows up alone on an island – he would devise fantastic scientific theories to explain his existence, simply because no one ever told him that he was born from a man and a woman or that a woman even exists. In theory he would be approaching the problem of his existence in the correct manner, he is simply missing information that is impossible for him to obtain. (See ibid 2:17)
As for the DH, I do not wish to debate it’s merits and demerits. I only wanted to say that the proof you brought (the article on simpletoremember) is not perfect, and in my opinion it still boils down to emunah.
Regarding the Gemara in Chullin, while in aggadic passages I am perfectly willing to say that they weren’t talking literally, I am sorry but I find it difficult that the Gemara is hiding sod in an obviously halachic Gemara. Once you go down that road where do you end, if you say that every place where their facts seem to be grounded in observation they were really talking about something else, then perhaps the halachos were never meant to be taken literally, and we should cross out half of Yoreh De’ah. Besides, I quoted a Rambam who says in no uncertain terms that Chazal didn’t always get it right in matters of Science and Mathematics.