Well not really, the Judiciary is doing their best to usurp the Legislative Branch's authority too.
Trump has floated the idea he may try to stop birthright citizenship for illegals via Executive Order. It does not work that way:
All persons born or naturalized in the United States, and subject to the jurisdiction thereof, are citizens of the United States and of the state wherein they reside. source
The language of the 14th Amendment is plain as can be. The President does NOT have the power to alter the Constitution. Anyone born in the US is a citizen. EOS.
There is a means to get rid of anchor babies. Executive Order is not one of them.