He is ignoring a ruling that the deportation not happen until the facts and law can be determined.Well, the ruling you are asking about... It seems you are lost as to current events. Which ruling is the president supposedly currently "ignoring"? It would be the one on the Alien Enemies Act...
No laws are non-judicable.
Are you suggesting the president has the authority to "deport" anyone at all, as long as he does it before a judge can review it?