Could a Muslim Judge restrict the President's right to determine who enters our Country?

Of course the judge pictured above would not be able to restrict the President's rights.  She is just a local judge in NYC who was sworn in on the Koran.  That said, it is very conceivable that in the near feature some Federal District Judge, whose allegiance is to Allah and not the United States could very well limit the President's power to enforce the Constitution.  Sadly, there are many on the left, who would applaud such an action.  I would further contend, that if such a judge restricted the rights of those holding an Israeli passport from entering the nation, those on the left would be cheering in the streets.