"Make it a criminal offense for your people to disclose that information to news sources" is exactly what is happening here. A member of the military (presumably a female in the Air Force, from context) was leaking information to (EDIT: suspected of corresponding with) Assange and/or Manning.

But doesn't the same logic make every person without classified access an enemy of the state?

That is, if an Army agent emails classified info to you or your neighbor, that should be wrong without labeling you and your neighbor enemies of the USA.

The implication of his wording as I see it is that this is fine, and that this is as far as it needs to go.

What do you think about his point?

I initially didn't think much of it, but in light of your response to his post I think he may have a valid point.