But who rejected whom, first?
Of course most early Christians, including most of the apostles, were Jews. Early Christians were viewed by their contemporaries as just another Jewish sect -- of which there were many.
We know that many of the Jewish sects hated each other. (E.g., the Zealots assassinated other Jews who didn't agree with them.)
But as far as I know, there was no particular hatred between Christians and Jews for about 300 years.
Then in the late fourth century a nasty split developed between Jews and Christians after John Chrysostomos, a bishop from Antioch, decried the "Judaizers" (apparently those who celebrated both Christian and Jewish holidays).
Everything I wrote above is based on the television program, "Kindom of David," which was shown on "public" television a couple of nights ago.
And no, I don't take as gospel anything I hear on public TV. So anyone who knows better, please correct the above.