John Gotti's son Junior was half-Italian on his father's side.
I think as long as you have an Italian last name (and you don't look black, or Chinese or anything), you'll be fine - these guys don't do genealogy tests.

I did hear about one issue with Andrew Campos, a Gambino acting capo with a Greek-esque last name. The family looked into his history and found that he was actually Italian. Allegedly (don't know how true this is) the surname was originally Campo or something similar and his grandparents/great-grandparents changed it to prevent anti-Italian stigma.

But, what you are saying Meyer that the mob will not be Italian in 30 years is a puzzling argument because it's not like Italians are DYING OUT, they are just moving to the suburbs.

Also, don't see why you cited Gomorrah as your source. That, along with the Sopranos and the Godfather, etc., etc., are all make-believe or dramatizations. Strange thing to say.