Fun fact the name Sloppy Joe, for both sandwiches, came from the same Cuban restaurant. Some people had memorable ground beef sandwiches from there which caught on as a ‘Sloppy Joe’.

As for the NJ version, a politician went down there and the same restaurant served a bread, cheese, and meat spread where people made there own sandwiches. He came back up to Jersey and asked a local deli to supply a similar spread. It caught on (very locally) especially because Jewish delis already made a similar-ish sandwich.

So there both names Sloppy Joe for the same reason, yet there completely different and not even closely related sandwiches. Couldn’t be more Jersey if they tried!