Except for the SCOTUS, federal court buildings are NOT under the control of the judiciary. Lower courts are established by congress, with venues allocated by the legislature and administered by the executive.
Good point.
Just read and see this in the EO:
“Sec. 5. Personnel. (a) The heads of agencies shall, to the extent permitted by law, provide guidance limiting official access from Federal Government buildings to employees of Susman when such access would threaten the national security of or otherwise be inconsistent with the interests of the United States. In addition, the heads of agencies shall provide guidance limiting Government employees acting in their official capacity from engaging with Susman employees to ensure consistency with the national security and other interests of the United States.”
So looks like the EO won’t run afoul of the Speedy Trial Clause, if applicable.