Avira,
you might notice that there are several people, coming from different perspectives, who have hard time believing that your disparaging attitude towards any group that disagrees with you does not translate into how you are teaching kids and that you are transparent with parents about it. I do think it is possible that you limit yourself. I myself have no problem talking to anti-modern people in person, and usually do not point out their hashkafic problems to them. And if I were in a position to teach, say, math or history in a chasidishe school, I’d probably also sneak some of my hashkofas here and there and make them realize that not knowing where Mitzraim is on the map is silly, and working for a living is how most Talmidei Chachomim spent their lives.
I don’t know what Orach Chaim says about girls learning Gemora or having unfiltered phones (not that I fully disagree), but I would have half of shas at my disposal discussing all kind of business and work issues.