The Badalamenti relationship is actually with my wife. I am deeply involved with her genealogy as well. There is no question in my mind you and she are related. I am guessing you are the great grandson of Vito. My wife's grandmother, Gaetana, and Vito are brother/sister.
If your birthday is in 1946 I have you pinpointed in my Family Listing!
You can contact me directly at firstname.lastname@example.org
. I have a lot of information on the Badalamenti family which I would be happy to share. My information on your branch of the family is a little thin so I think you can help me as well.
Hope to hear from you.