The Gemora Bava Basra 15B says ?אַטּוּ כּוּלְּהוּ נְבִיאֵי מִי לָא אִינַּבּוֹ לְאוּמּוֹת הָעוֹלָם about the thought that the Neviem in Tanach were not talking to non-Jews as well.
I’m no posek and not endorsing the idea of a masters program teaching Tanach to non-Jews from a Jewish perspective but the Gemora does seem to clearly indicate that non-Jews are encouraged to learn Tanach. Who is supposed to be teaching it to them?
Unless you can prove with solid maareh mokomos that YU is clearly doing an aveira just bug off.