I know that in SoCal some of our cities have had ICE officers working with the jails and the process for booting illegals has been much quicker than what you are describing.
But granting that what you describe may be accurate there is nothing to stop us from scrapping the 1996 law and replacing it with one that allows us to quickly deport illegals.
And most of all we need to challenge the bastardized reading of the 14th amendment that has created anchor babies.
And so we circle around to my original contention, that the election of Trump will not end the debate. The 1996 law will have to be overturned (by a possible Democrat Senate) and SCOTUS will have to rule on the 14th Amendment. I'm not saying I oppose making it easier to deport and not allowing anchor babies, I'm simply saying it is going to be a tough row to hoe.