The one case the supreme court considered involved legal aliens, they have never ruled on a case involving criminal aliens. And yes, congress has every right to say illegals do not meet the jurisdictional requirements of the 14th Amendment in our naturalization laws.
They don't? A foreigner in this country illegally does not fall under the jurisdiction of US law?
Yes they fall under US law, but they owe political allegiance to a foreign power which according to the framers of the 14th they do not fall under the total jurisdiction of the US and they and their children are excluded from citizenship. I posted their intent in this thread, and others, read it.