Yes, but actually Klinghoffer’s examples will server our purposes here better anyway. Talmudic attitudes toward gentiles are not, in general, about Christianity but, rather, about Jewish attitudes towards gentiles, generally.
Anyone aware of those passages should not be surprised that 1AD Jews would regard it to be unclean to dine with gentiles.
On another angle:
The destruction of the Jewish National State and the burning of the Temple necessitated tremendous changes of a structural nature. Many old regulations had to be abolished. The High Court at Jamnia also took upon itself the power to suspend certain Biblical laws which were either obsolete or incapable of being fulfilled due to changed conditions. Of the many prohibitions abrogated by the rabbis none benefitted Judaism more than setting aside the age-old tradition against putting the Oral Law into written form. Despite the fact that for centuries it was regarded as a serious transgression of Judaism to commit any part of the Oral Law into writing, the demands of the new age were entirely too compelling to be denied. The time had now come when the memory of the sages (even as it was trained in those days) could no longer hold the vast accumulation by oral transmission. Since the destruction of the Temple, the growth of the Oral Law, and the extension of its principles, mushroomed into a huge bulk. Individual teachers, jurists, and disciples resorted to jotting down various aspects of the Oral Law as aids to memory. From such beginnings as these arose the vast literature of the Talmud. [Understanding the Talmud, p. 8]
So the Talmud, by its very commitment to writing, violated a most basic oral tradition.
It is an interesting question whether the Oral Law was ever intended to be immutable.