• be called to jury duty
• be drafted into the military
• hold public office -- IE: elected to the House, Senate, or similar publicly elected position
• be employed by the US Government (without stealing someone's ID)
• vote (legally, that is)
• get a social security card (legally, that is)
• or anything else a US Citizen can do without problems
That is why those here illegally do so much to conceal who and where they are. They want absolutely nothing to do with those attempting to apply the jurisdiction of the US to them and their loved ones' lives. BUT, they want all of the benefits of the CITIZENS of this nation without any of the accompanying responsibilities, to include said citizenship.
You think they are under our nation's jurisdiction, but, in truth, they are far from it. And our emperor is attempting to help them achieve their goal.
Under the jurisdiction does not mean one is a citizen. It means the government will, or should, enforce its laws on you.
One problem here is that when the 14th was ratified there were no illegal aliens.
There were no restrictions on immigration at all at the time, and no really significant ones till the 1880s and 90s. Some states had restrictions but they were declared unconstitutional in 1875.
Since there were no illegal aliens, the issue was obviously not considered by those who wrote the amendment.