Alternate Character Interpretation: Just how antisemitic is Lindbergh? We do see him start giving Bengelsdorf the cold shoulder and not lifting a finger to put a stop to anti-Jewish violence, but he never directly speaks against Jews after his initial campaign speeches (the views in which Bengelsdorf claims to have talked him out of). And while his administration did descend into outright persecution in the end, that happened after he had disappeared.
Genius Bonus: When the Italian family moves next door to the Levines, the first thing they do is pry something off the door frame and hand it to Philip. It's a mezuzah, traditionally kept in the door frame of a Jewish household. That's as clear an indication as you can get that the new neighbors are not Jews.