The left wing nut comments on Trump's EO are wishful thinking. 
Even serious left wing legal scholars have rejected them. 

non-US-Persons do not have US constitutional rights. 
Third party US persons do not have standing regarding, nor a personal claim regarding the non-infringement of the non-constitutional rights of non-US persons. 

SCOTUS has previously decided that campaign statements are not evidence of intent. 

Intent is not even relevant so long as the EO is constitutional on its face. 

The lower courts have greatly exceeded their authority. 
And Ginsberg is going to be under enormous pressure because of her political remarks to recuse herself from everything Trump. 

Frankly I think you are going to get 9-0 decisions even if she does not, the lower courts are that far off base. 

The key argument is ".... Trump!" 

The left and media have been pushing the ".... Trump!" narative since before the election, 

It is not flying and no substance is getting added.