[BikerNYC]

It would read:

All persons born or naturalized in the United States and [a] subject to the jurisdiction thereof, are citizens of the United States and of the State wherein they reside.

It's pretty clear that the way it reads now means that, to be a citizen, the person who is born here must be subject, as a verb, to the jurisdiction of the United States. This includes all persons born in the United States except those who have immunity from prosecution, in other words, the diplomatic corps. I think that the meaning you give to these words is forced.

[moehoward]

"My meaning"???

"This will not, of course, include persons born in the United States who are foreigners, aliens, who belong to the families of ambassadors or foreign ministers accredited to the Government of the United States, but will include every other class of persons." - Senator Jacob Howard, co-author of the citizenship clause of the 14th Amendment

Fortunately we have the co-authors words to clear up his meaning.