Whaddya know, reading the actual case documents helps the understanding.
The opinion the OP talks about was a ruling on a motion for an injunction against the stop-work order issued by the Interior Department.
An injunction is an equitable remedy - remember the judicial power extends to all cases in law AND equity, and one of the showings that must be made is that the party moving for the injunction will suffer irreparable harm if the injunction - the equitable remedy - is not granted.
Geez. This is hornbook law.
Whether the court was justified on the record in finding that irreparable harm was shown is another matter. However, since the court has also set an expedited calendar for briefing on the underlying merits, it’s likely that an appeal of the decision won’t be available until after the district court has ruled on the merits.
This judge IS following the Constitution and is exercising the equitable jurisdiction the Constitution grants. Whether he was mistaken on the facts is another matter, but that is not of a constitutional dimension.