Get way behind in paying your Income Taxes. Move to France. You will, in time, learn that the laws of France are not nearly as important as the jurisdiction the United States of America and the IRS have over you and your income.
I believe that same argument applies to citizens of Mexico crossing over into the U.S. and giving birth to a child. That child and the parents remain under the jurisdiction of the Mexican government.
The only problem I have with that, is that it is dependent on what the Mexican government does. In theory, they could pass a law stating that such people are no longer subject to their jurisdiction. Would that automatically put them under our jurisdiction?