You are right on regarding the 14th Amendment——passed in the wake of the Civil War by intimidation and favor (like Obamacare) and intended to address the citizenship of former slaves, not waves of illegal immigrants. A good start would be its repeal.
You are quite correct re: the 14th Amendment.
It provides for there being “citizens of the United States”, it DOES NOT SUPPLANT the Citizens of the states.
These are two very different animals indeed.