The judges have issued stays barring deportations. The problem is that people have been deported anyway. There was also a ruling that said people detained at Dulles airport had to be allowed contact with their attorneys, which they were not allowed to have. Other people have been tricked into surrendering their visas and green cards.
https://www.theguardian.com/us-news/201 ... green-card
Some lawyers have been asking the judges to declare CBP in contempt of court, but the problem is no one knows what would happen if the courts sent in US Marshals to force Customs and Border Protection to let the lawyers talk to their clients. The Marshals are judicial branch, CBP is executive branch. That's where the constitutional crisis part comes in.
While Trump is within his rights to fire the Acting Attorney General, the act still raises serious ethical questions. She made her decision not to defend the EO because of numerous statements Trump, his administration and his advisors have made claiming that the ban targets Muslims explicitly, which is illegal under the Constitution and under treaty law and international law. See Rudy Guiliani's statement that he was instructed by Trump to find a legal basis for a Muslim ban. The EO also grants priority to Christian refugees, another basis for the interpretation that the ban discriminates against Muslims. The US embassy in Israel is claiming that the ban does not apply to some 50,000 Jews from the 7 countries mentioned in the ban, despite the fact that exemption is not mentioned in the EO itself. I'm not sure if they're telling the truth or if that exemption would be recognized at the border, but it still suggests that the EO is intended to discriminate against Muslims.
The office of legal review, which is supposed to check executive orders before they are signed, does not consider intent during its process. But courts of law do consider intent, and so the Acting AG made her decision based on the stated intent of the ban. Attorney Generals are supposed to be independent from the president, though that is more of a norm and is not written in law.
And those of us with family and friends in the 7 countries DO have reason to be afraid, we ARE afraid. One of my schoolmates was detained at the border, along with two professors from my university. Luckily the university system was able to communicate with the governor and the ACLU to get them to safety before they were forced onto a plane back out of the country, but it was a close thing.