[WildSnail]

However, Congress can decide that certain categories of statutory citizenship are indeed "natural born" - such as children of military serving overseas, etc.

Oh, I see. So congress can pass a law saying all naturalized citizens are "natural born", and Arnold can run for President?

<snicker> Fail!

[sometime lurker]

Oh, I see. So congress can pass a law saying all naturalized citizens are "natural born", and Arnold can run for President?

No, because naturalized is a pretty clearly understood concept. However, there are gray areas - for instance many think it is still unclear if those born overseas of US citizens are "natural born". Hence the questions about John McCain born before 8 U.S.C. § 1403 took effect in 1937.