Sinai Source of Religious Hatred

Shabbos (89a)  One of the Rabbis asked R. Kahana: Hast thou heard what the mountain of Sinai [connotes]? The mountain whereon miracles [nissim] were performed for Israel, he replied. Then it should be called Mount Nisal? But [it means] the mountain whereon a happy augury [siman] took place for Israel. Then it should be called, Mount Simanai? Said he to him, Why dost thou not frequent [the academy of] R. Papa and R. Huna the son of R. Joshua, who make a study of aggadah. For R. Hisda and Rabbah the son of R. Huna both said, What is [the meaning of] Mount Sinai? The mountain whereon there descended hostility [sin'ah ] toward idolaters. And thus R. Jose son of R. Hanina said: It has five names: The Wilderness of Zin, [meaning] that Israel were given commandments there; the Wilderness of Kadesh, where the Israelites were sanctified [kadosh], the Wilderness of Kedemoth, because a priority [kedumah] was conferred there; the Wilderness of Paran,because Israel was fruitful [paru] and multiplied there; and the Wilderness of Sinai, because hostility toward idolaters descended thereon. Whilst what was its [real] name? its name was Horeb. Now they disagree with R. Abbahu, For R. Abbahu said: its name was Mount Sinai, and why was it called Mount Horeb? Because desolation [hurbah] to idolaters descended thereon.

Rashi (Shabbos 89a) Hatred  for idolaters (the nations of the world): Since they did not accept the Torah. 

Derashos HaRan (7) All of our quarrels with the nations stem from our difference in faith, as our sages stated (Shabbath 89a):The meaning is that because the Blessed One separated us from all the nations, not to intermarry with them and not to eat forbidden foods, this furthering and separation from them has inevitably caused this hatred. This is the intent of "When I liken you, I shall console you." That is, when I liken you with the other nations, so that they will all be of the same faith with you, I will console you. For then the consolation will be complete, with no subsequent worry of war or of the hatred of the aforementioned nations against us