In the case of people being deported on the basis of AEA, they must have notice and an opportunity to be heard. This is what the Supreme Court has consistently ruled. And in the case of AEA opportunity to be heard means they can submit a Habeas Corpus petition to the Court and a judge must review it. In the case of these people in Texas, they were given only a few hours notice, rounded up, and were not being given the practical opportunity to submit a Habeas Corpus petition.
In the case of the broader argument about whether or not the AEA can be invoked by Trump:
THERE IS NO WAR. And claiming a criminal gang is a terrorist group has no factual/logical basis, and claiming "terrorist group" is at war with the U.S. has no factual/logical basis, and claiming that "terrorist group" is an actual state we are at war with has no factual/logical basis.
The Supreme Court will eventually rule AEA does not apply.
And Trump is doing all this because he wants to be a dictator and kick whoever he wants at any time.
And Trump supporters are going along with this because they hate people with brown skin and they are fascists who hate the Constitution.
What will eventually happen, whether you like it or not, is that all these people who Trump is trying to deport, will eventually get a hearing before an immigration judge, even if you hate them because they have brown skin, even if you hate them because they do not speak English.
You will not get what you want.
These "non-white" people have rights whether you like it or not.