You think?
DHS has already started to take the lead on this. They're certainly spending a whole lot more money on stopping border crossers and rounding up illegals inland...
If we follow your theory, we need to keep our eyes open for a re-layering of bureaucracy. The consolidation of several agencies into the DHS was supposed to eliminate that excess overhead.
My company just did that - they eliminated 5 managers - I went from being a manager of writers to being just one of the writers - and I'm waiting to see how they reallocate 200 hours of management oversight per week among the remaining managers.
I think there are politicians who will see an "opportunity" to grab more power and expand the government payroll. This way they can expand their empires and look like they're doing something. Wouldn't be the first time.