er, the point is that it’s all torah – there’s no torah ve’taaruos, no torah ummada, no torah v’rachmanus – the expression torah im derech eretz is a mishnah, and rav hirsch used it in terms of torah and being active in the world according to the torah, not as if there’s something else of value OR something else which from the outside influences our torah values. He (and even rabbi yoshe ber soloveitchik) write explicitly that torah is a self-contained continuum, not affected by outside values – rather the torah is what guides us in how to approach anything from the outside.
rachmanus is a torah value, and it is expressed when the torah says to express it, and suppressed when the torah says to suppress it. On shabbos, if one sees a goy dying and there’s no issue of “aivah” or someone finding out and refusing to save Jewish lives in the future, there is absolutely no heter to be mechalel shabbos for him. Furthermore, if a person was mechalel shabbos for such a reason, he would be chayav misah!
I’ve told this to some modern jews, and they’ve told me, in their heresy, that they’re willing to be put to death to save a goy. But even in their foolish notion of self-sacrifice, they miss the point; the idea is that they’re flouting the will of Hashem! He and he alone decides who lives and dies, and putting a jew there on shabbos is akin to putting him behind an iron fence – you might want to help, but what can you do? you’re unable to.