I think that blaming the descendents of anyone who died nearly 2000 years ago to be really, really stupid. It has been so forever.
The Bible suggests that whole tribes are guilty of the evil deeds they do after the people who did the deeds are pushing up daisies, but that was par for the course way back then. But the idea of the Original Sin has served to keep it alive. We are supposedly all born guilty of Adam and Eve's snacking on forbidden fruit on the recommendation of a talking snake, and there are many who still believe this.
Modern people forget this silliness. Like Mr Cohen, Mr. Levi, Mr. Shapiro and Rabbi Feldman, tooling about in their Audis, Beemers and Benzes.