Its not the Supremes its those Federal circuit judges and their injunctions that Trump needs to ignore.
The lower federal courts are a creation of Congress so under the Constitution they cannot overrule the coequal branch of the executive, only the Supreme Court may do so. I think going forward the only way out of this tyrannical rule of federal and state courts is for the executive branch to ignore all rulings and only defer to those lower court rulings when the Supreme Court rules on the lower court decisions.