It is of course necessary for everyone to be mentchlich with anyone – including a nochri.
Nevertheless, as Matisyohu28 eloquently pointed out in the previous thread, “we are created vastly different from goyim, spiritually, and somewhat different (according to the Chasam Sofer) physically. Unless there is an element of kiddush hashem, giving presents to goyim bechinam, or going to great lengths to do chessed is, at best, not advisable, and at times, assur. For example, by hashovas aveidah there is merely a Heter to do hashova if there is a kiddush hashem – if there is no kiddush hashem, it is assur to return items to a goy. It is however, a chiyuv if there will be a chillul hashem resulting from not returning it.”