Replies

You seem to have left the key phrase out of your highlighting -

...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

These are the standard and longstanding exceptions both for "natural born subject" and "natural born citizen."

You also may have missed this from Senator Trumbull, chairman of Judiciary,

The senator from Missouri and myself desire to arrive at the same point precisely, and that is to make citizens of everybody born in the United States who owe allegiance to the United States. We cannot make a citizen of the child of a foreign minister who is temporarily residing here. There is a difficulty in framing the amendment so as to make citizens of all the people born in the United States, and who owe allegiance to it. I thought that might, perhaps, be the best form in which to put the amendment at one time, 'that all persons born in the United States, and owing allegiance thereto, are hereby declared to be citizens;' but, upon investigation, it was found that a sort of allegiance was due to the country from persons temporarily residing in it whom we would have no right to make citizens [p572 of the Congression Globe on the debates over the fourteenth amendment]

To break it down for you:

They wanted to make citizens out of everyone who owed allegiance to the United States (similar to the English "born in the ligeance of")
They realized that even a foreign ambassador temporarily resident, and thus his newborn child, owes a sort of allegiance to the country where he temporarily resides
They understood they had no right to make the children of foreign diplomats or ministers into American citizens
They changed the language so they did not do so.

Which you refuse to understand, and try to read in different meanings than what was intended.