The only way to settle this issue with finality will be to:
1. Get a decision from the U.S. Supreme Court. However, the issue shouldn't be pushed before the court until there has been at least one more, preferably two more "conservative" justices seated. It's not yet time to bring this before the Court.
2. Even so, there's no guarantee that even the most conservative Supreme Court imaginable will go against the "traditional" interpretation of the Fourteenth Amendment as it has been applied since the 1860's. A little sumpin' called "stare decisis".
3. If the Court rules that the traditional application of the Fourteenth Amendment insofar as citizenship is concerned -- that is, anyone born on U.S. soil is a U.S. citizen -- stands, the only way to change this will be through a Constitutional amendment.
4. Since it would be impossible to get an amendment through Congress, the only possible course of action would be to pass it through an Article V Convention of the States.
And that's how it must be done.