Joseph- First of all, DL and MO are two different things. The gender issues is more of a dispute between Chareidi and MO than Charedi and DL.
With regard to Zionism, I guess that’s Rabbi Crawley’s question. The issue of Zionism is regarding a few lines of Aggadeta at the end of Sanhedrin that’s not brought down lehalacha by the Rosh, Rif, Rambam, or Shulchan Aruch. Why doesn’t eilu va’eilu apply to how we understand the 3 shevuos? It seems like such a small detail to create such a large rift.