Neo-con is a synonym with "national greatness" conservatism espoused by Mr. Kristol among others. That is always the way i have heard it defined and it is my definition.
By your definition, i am also a "neo-con" since i became rabidly right-wing about 1990 or so and I am over 40 years of age. But, I do not think your definition is the way it is used in the vernacular.
Yep. That's your definition. It's wrong, but it's yours.