Jfem, welcome back.
Squeak, notice that I did not mention the motto isssue at all in my previous posts. That is because it is so silly. Five reasons:
1) Torah Umada means simply Torah in the morning and Mada in the afternoon. Period. Just like all Chareidi mesivtas have.
2) Mottos are irrelevant. If I want to open a shul and call it Bnei Bozo Ohavei Yayin, does that mean one can’t daven there? If it is run according to halacha, the name is irrelevant.
3) Do you also favor eradicating the motzaei Shabbos shemoneh esrei? It says Atah Chonantanu l’MADA TORASECHA? Notice those two poisonous words. If it was good enough for chazal, it is good enough for YU.
4) The bogus claim that they put mada before torah in importance is historically incorrect. For many years YU was only a Yeshiva. It was only later they added a college. So how can you claim that they hold secular studies are the ikar?
5) You will say that some interpret Torah Umada as meaning they are equal. Well every year some of the Ivy league schools have a debate on Latkes vs. Hamantashen. They darshen all kinds of deep meanings into each one. It is all silly.
Your point that at the Mir they will not give college credits to be used at Touro is a mayseh listor, and proves my point. The gedolim were against ALL secular studies which is why in EY chareidim do not even learn them in high school. Even in a kosher place like Touro they don’t like them. The hate for YU is simply an extension of this dislike of secular studies in general.
Your claim that the required Bible (Biblical Exegesis) courses contain apikursis is not believeable unless you provide a clear example. Neither you nor I ever took one of these courses, so you would need to provide written source material of something which was taught that is kefirah.
Finally, if you believe they hold secular are equal, provide a clear example of something which differs from the Chareidi viewpoint to secular studies. I.e., do Chareidim allow secular studies for parnasah? What about to study science to see the gadlus haborei? What about someone who loves American History as a hobby? What about someone who believes that if you don’t speak English well or are unfamiliar with classic authors like Mark Twain, you make a bad impression on the world at large in America. Feel free to provide your own scenario or use one of my list of one who studies secular studies for supposedly forbidden reasons, and how they differ between the Yeshivishe view and the YU view.