“shipped out” was not the way to put it but they can be detained for an undetermined period of time while waiting for the Admin to act.
As you say the Obama people have said they simply will not enforce the law to any serious degree and if that is so they will only hurt themselves because a HUGE majority of Americans are in favor of this law.
Maybe these people could be released to the drug cartels’ “no-go zone” (which the feds ceded to the drug cartels).