The leading candidate to become the IDF's (Orthodox) chief rabbi, Colonel Rabbi Avi Ronsky (Res.) has this to say about violating Shabbat laws to save non-Jewish lives:
"The life of a non-Jew certainly has value ... but the value of Shabbat is more important," said Ronsky. "When there is a clash between a directive in the spirit of the [IDF ethical] code and an order of Jewish law, it is clear that one must listen to the opinion of Jewish law."
While the context of this statement is the saving of a non-Jewish terrorist's life, Rabbi Ronsky clearly does not differentiate in his reasoning between that case and the case of a friendly non-Jew. And Rabbi Ronsky, a settler, is widely considered a moderate.
Should a non-Jew's life be saved on Shabbat when that saving entails violation of Shabbat law? And if the answer to that question is no, why should non-Jews ever bother to save Jewish lives? Keep in mind this question applies to all areas of medicine and emergency response. Readers?