The three "co-equal" branches of government are vested in Congress, the President, and the Supreme Court.
Congress defines the role of "inferior courts". Inferior courts do NOT have the same authority as the Supreme Court. There is no way based on the Constitution that District Courts can reduce the president's Article 2 powers.
en.wikipedia.org
"However, because Congress controls the budget,
jurisdiction, and structure of the federal courts, the judiciary as a branch is better described as
largely dependent on Congress rather than independent of it. Although the Constitution, not Congress, creates the Supreme Court,
it is Congress that decides whether to create lower federal courts, how to arrange them, how many judges will be appointed to them, and whether to abolish them.
Congress also has the power to grant jurisdiction to and withdraw jurisdiction from, lower federal courts. Moreover, although judges have the power to issue final judgments, they must rely on the executive for enforcement.