It absolutely would destroy the rule of law. The Senate Judiciary Committee, controlled by FDR’s own party, had this to say: https://constitutioncenter.orgblog/how-fdr-lost-his-brief-wa...
> By June 1937, the Judiciary Committee had sent a report with a negative recommendation to the full Senate. “The bill is an invasion of judicial power such as has never before been attempted in this country. . . . It is essential to the continuance of our constitutional democracy that the judiciary be completely independent of both the executive and legislative branches of the government,” the report read.
> Its conclusion was even more direct: “It is a measure which should be so emphatically rejected that its parallel will never again be presented to the free representatives of the free people of America.”
Even the mere threat of court packing effectively gutted separation of powers and federalism. Today, a federal government of “enumerated powers” is a dead letter, all thanks to FDR.