[Rides3]

Nothing there about my mother serving in the Italian army.

You're getting unreliable information because you're depending on a fee-for-service website advertisement. It's in their best financial interest to make as many people as possible believe they're eligible for Italian citizenship so they can collect more in service and documentation fees.

Better to get your information from Italian Government websites, like the ones I posted.

[Bubba Ho-Tep]

Better to get your information from Italian Government websites, like the ones I posted

Okay, how about this? Italian Consulate of New York:

If you were born in the United States you may also be considered an Italian citizen if any one of the situations listed below pertains to you:

Category 5) your paternal or maternal grandparents were born in the United States from Italian parents and they never renounced their right to Italian citizenship. (Please note: the Italian mother can transfer her Italian citizenship only to children born after 01/01/1948).

If category 5 applies to you, the following documents are required:
- FORM 1
- YOUR PATERNAL OR MATERNAL GREAT GRANDPARENTS’ BIRTH CERTIFICATE (from Italy)
- YOUR PATERNAL OR MATERNAL GREAT GRANDPARENTS' MARRIAGE
CERTIFICATE
- YOUR PATERNAL OR MATERNAL GREAT GRANDFATHERS’ CERTIFICATE OF NATURALIZATION AND PETITION FOR NATURALIZATION
- YOUR PATERNAL/MATERNAL GRANDPARENTS’ BIRTH CERTIFICATE
- YOUR PATERNAL/MATERNAL GRANDPARENTS' MARRIAGE CERTIFICATE
- YOUR PATERNAL/MATERNAL PARENTS’ BIRTH CERTIFICATE
- YOUR PATERNAL/MATERNAL PARENTS' MARRIAGE CERTIFICATE
- YOUR BIRTH CERTIFICATE
- YOUR DECLARATION THAT YOU NEVER RENOUNCED ITALIAN CITIZENSHIP BEFORE ANY ITALIAN AUTHORITY, listing all your places of residence and relative years. Your signature must be notarized. Copy of your passport and proof of residence (driver licence and utility bills ect.) are requested. Use FORM 2
- DECLARATION THAT YOUR PATERNAL/MATERNAL GRANDPARENTS NEVER RENOUNCED ITALIAN CITIZENSHIP BEFORE ANY ITALIAN AUTHORITY, listing all places of residence and relative years. If living use FORM 3, if deceased use FORM 4
- DECLARATION THAT YOUR FATHER/MOTHER NEVER RENOUNCED ITALIAN CITIZENSHIP BEFORE ANY ITALIAN AUTHORITY, listing all places of residence and relative years. If living use FORM 3, if deceased use FORM 4
- ANY PERTINENT DEATH CERTIFICATE/S RELATED TO THE ITALIAN ASCENDANTS. If your great grandfather became a naturalized U.S. citizen before your grandfather or grandmother’s birth, you are not eligible for Italian citizenship.

The link that you posted earlier was a little unclear because of the indenting, which made those items look like subordinate conditions, but Here's a link to the Italian Embassy with the same information. The item about military service pertains to non-citizens wishing to become citizens. However, the statement above, "Italian citizenship is based on the principle of ius sanguinis (blood right) by which a child born of an Italian father or mother is Italian" supports all the argument that I'm already an Italian citizen under their law, and no such condition applies.

For good measure, here's one man's account of the process. No military service mentioned. I can find plenty more examples of people telling exactly how they did it and what was required if you still refuse to believe.