I think a lot of folks in this sub would say Greenville (Cator Ave's neighborhood) is a "bad area." I'm not in Greenville, but not too far away - and my perception is that it's JC's least-gentrified neighborhood, with some pockets of long-time residents who look after each other and do a nice job maintaining their property, and other pockets that are sketchy with drug / gang activity.

If you and your wife have lived in urban areas before and are comfortable with that kind of mix - yeah, consider it. Otherwise, something in the Heights, Westside, or Bergen-Lafayette might be a better fit.