You can't really get around “birthright citizenship” in the Constitution
The limits Trump is setting are not unreasonable — but all of us who are born in the United States are citizens by birthright — which we can't deny or sell for a bowl of porridge like Esau.
International laws prohibit “statelessness” and generally require an assignment of native citizenship (not sex) at birth.
Amendment XIV. § 1. 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. …
So stated without exception. The Constitution of the United States does not recognize any “renunciation” of citizenship for tax purposes or otherwise.
However, being “subject to the jurisdiction” of the United States at birth does imply at a very minimum that one’s mother is legally present in the country at the time and place of the said birth.
Birthright citizenship is our birthright or most precious heritage, not something we should give up or give away to illegal immigrants or their children. It's not something we can allow them to “earn” or pay large money for, either.
President Trump tried to ban birthright citizenship for the children of undocumented immigrants and some temporary foreign visitors.
It looks like there is a fundamental misunderstanding of what a “birthright” is or what it ought to be. Trump is actively defending our birthright citizenship in our own country, while the liberals insist on giving our birthright away to illegal immigrants, which is never what the founding fathers or Abe Lincoln would have intended.
Unfortunately an overwhelming supermajority of Supreme Court justices in the United States are Roman Catholic, and the Vatican very actively and strongly supports, advocates, encourages and defends illegal immigration of Catholic foreigners into the United States regardless of their faith or allegiance. What they call “Christianity” in their false zeal to build a “Christian” nation they subtly pervert and restrict to crass barroom Catholicism alone, while allowing the requisite place to Jews of a “Reform” or liberal mindset.