That’s a good question, but it needs to be dealt with on the plane of citizenship, not natural born citizenship. If they are not made citizens, there will of course be no issue of them being natural born citizens, and the theoretical chance that an anchor baby might one day ascend to the Presidency is a pretty minor issue as compared to the millions of anchor babies flooding into our society, qualifying their parents for benefits and legal status, overcrowding schools and hospitals, growing up in an un-assimilated culture, joining gangs, etc. It seems pretty straightforward to me that the child of a diplomat born in the U.S. is not a citizen, much less a natural born citizen, ergo, neither is the child of two parents neither of which has any legal right to be here. But that will have to be sorted out by the three branches of the federal government.
This the current B$ interpretation in an attempt to make Citizen = to Natural Born Citizen and it is a very sorry attempt. This technique used to solely belong to the Democratic party, but I see we are not above using it if we feel we can get away with it. You likely will be able to shame most Freepers into going along, but you will get no such cooperation from Hillary and her Minions.