I suspect that given the current trend in American politics any attempt to deny citizenship to people born in the US of foreign parents here on tourist visa's would end up before the Supreme Court. That's probably appropriate as well, given this isn't exactly a traffic ticket.
Lawyers would probably talk themselves into knots about that very clause: "the State wherein they reside". What is residence? If the parents get an electric bill, does that count? People can reside in Hotel's for years, how long is a minimum time for residence? I'm sure there's a variety of other quibbles that could be made.
At very first glance, and being aware of the issues we face with Birth tourism, I tend to think if there's any question at all in how a law is written, the USSC should default to the position which gives the government less power and the individual more. Which in this case would be that anyone born here is residing here as of that instant, and a citizen. If it's really that much of an issue, change the amendment.
If you think about it on the 18 year timescale though, Russian and Chinese Birth tourism is a way in which they really could affect our elections, as opposed to "hacking" the DNC.