I am not a legal expert but have heard a number offer Trump advice on what to do now.  They say that a Supreme Court decision will take months to be rendered.  If Trump truly believes the USA to be in great danger he should not take that route.
What he should do they say is withdraw the existing executive order and sign a new one that is acceptable to the courts.
Nobody seems to think he will do that because it would be an admission that he was wrong and that he lost.  Donald does neither - just ask him.