1. The Orthodox world is a continuum, not a discreet distribution. Really, we should follow Rav Kook and drop these labels. Even the term “Orthodox” is relatively new and was only used by Rav Horsch in order to establish a separate religious community under Prussian law. We should go back to tzaddikim/benoni’im/resha’im with the difference based on the weight of mitzvot vs. aveirot (Rambam Hilchot Teshuva 3,1) and the weights of different for each individual (Rav Dessler, Kuntras Nekudat haBechira). Do you know who will fare better in the Heavenly Court, someone with the problems you cited but is honest, or someone whom you consider frum but steals and cheats in business? The Sefat Emmet says on הווה דן כל האדם בכף זכות that if you look at everything about a person you will surely find something good.
2. Demonization is multi=lateral. You, Avirah, demonize those with whom you disagree. For that matter, Litvaks and Chassidim make fun of each other and everybody makes fun of Yekkes. There are also the Ashkenazi/Sephardi issues.
3. FYI, Rav Soloveichik established a mixed-gender school in Boston. For that matter, the Seridei Eish established a mixed-gender youth movement, Jeshurun, in Paris after the Holocaust and Rav Joseph Breuer established a mixed-gender branch of Ezra in Washington Heights. There is no choice in small communities or in communities where many children would otherwise be sent to public schools. Do you have a license to pasken? If so, it should be revoked. As for the topic of that debate, perhaps the team should have entered and given the Torah view. As for the opposing point of view, they are going to eventually encounter it. whether in college or at work (yes, people do talk in offices) so they should know what to answer, at least to themselves.