Of course they have the authority. They get to decide whether the President is following the law that congress has passed. Hence the separation of powers. If congress passes a law then and the Executive branch doesn’t follow it then the courts jump in to decide who is right. That being said when the court issues an opinion based on what they “feel” instead of the law.. then we have a problem. Congress just needs to pass a law that says exactly what Trump wants to do and that ends the story.
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>> “Of course they have the authority. They get to decide whether the President is following the law that congress has passed.” <<
Balderdash!
The separation of powers prevents the court from interfering. There is no US citizen affected by the order, thus the court has no venue.
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If Congress passed such a law, a democrat court, probably the 9th, would put an injunction in place. It seems to me that the judicial branch has gained the superior position in our government over the years.