Not to minimise modern French antisemitism, it has deep roots which transcend this immediate political crisis. I am sure you know this. Dreyfus wasn't an origin event, antisemitism had been rife in French culture for ages before. I stop at that point because there is at least some political continuity to turn of the 19th century politics, the downfall of the third Republic aside.
I see modern day French antisemitism as a bizarre union of right wing echt French, le pen-type and modern era Islamic migration from Francophone former French colonies. Former enemies united in a common hatred.