1. It need not be said that a refined human being does not spit at inanimate objects or at animals, and certainly not at people created in the image of God. Spitting is not the sign of a ba’al mussar.
2. Darkhei Shalom. We feed their poor, visit their sick, violate Shabbos to heal their sick. Of course we don’t spit on them!
See, the Jew-haters have already picked up on this story.