Dear Avira,
Your entire dance of a worldview is based on nobody from the mesorah camp every having fully relied upon someone from the scholarship camp. Or someone from the scholarship camp having a major positive impact on the mesorah camp. The problem is that there needs to be some agree upon line from Sinai. And there just simply is not. All lines of mingling takes place from one edge of the spectrum to the other. Rabbis, spouses, and ideas meet up without even the slightest hint of a schismatic line in the sand. You can keep dancing around to keep up the illusion that there is some line somewhere. It is not there.but the Jews will persevere by joining up and not by drawing lines in the sand. Our Great Torah Sages parade over your lines with smiles and winks.
Look around and see how the Torah is infinitely greater than the entire world. If we all fit on Earth, kal vachomer we all fit in the Torah. It does not mean that they [or you, or me] are in accordance with the Torah. It means that the Torah is not threatened by their studies. You have already moved on from one community. No reason to get lost and confused in another community. You were not born here like I was. The yeshiva does not espouse the doctrine that you think it does.