There, shoftim refers to judges who interpret and apply the law, requiring deep literacy in the Torah to ensure righteous judgment without favoritism or bribery. Shotrim are the enforcers of the court (sheriffs, etc.).
I don't know where people get the idea that the role of a judge is not to interpret the law. This is literally the only thing SCOTUS does.
In particular just because it "makes sense" to extend 4th amendment reading doesn't justify judges just going for it. That would be legislating from the bench.
Take for example laws which depended on Roe V. Wade being a Constitutional right no longer existing, and laws created after that right was repealed, because said right didn't make sense to the current Justices (despite being established law for nearly 50 years.) Did the wording of the Constitution change over those intervening years? No. Justices who agreed that Roe was a right died or retired, and were replaced by justices who disagreed, and the Constitution means whatever a majority of Justices say it does. Or the Supreme Court deciding that the 2nd Amendment's definition of "militia" included every American citizen, thus creating a right to personal firearm ownership where none existed before.
Or more accurately, the Constitution means whatever a majority of Justices decide that the hypothetical ghosts of the Founding Fathers, if summoned into a pentagram, would themselves decide. It just happens to be the case that the original intent of the Founding Fathers always correlates to the political bias of the majority. Crazy how that works.
And of course the Supreme Court's power of judicial review itself was never granted by the Constitution. They just made it up because it made sense to them.
This does not appear to be true. “Judicial” is etymologically unrelated to “Judaic” fyi.