There's one factor that your math doesn't include.
Arresting 1,187 illegals per day on a consistent basis would significantly shrink the under-the-table labor market. Arresting their employers would reduce it even further.
The shrinking demand for labor would encourage a huge number of those 11+ million illegals to self-deport. It would also cause many who are still in Mexico to give up the idea of jumping the border.
I seriously question your expertise on the thinking of both illegals and their employers. How many do you know well and have discussed this with them? In IL there used to be "raids" of employers, deporting the illegals, fining the employers.
When word of the "raid" spread, illegals lined up to fill the vacancies and were hired by the employer. In most cases, the "raid" was triggered by an illegal who had a personal beef with one of the illegal workers and then got drunk and called the INS. In a couple cases it was the Dem politician who called the INS because the employer would not pay the customary bribe.
Those frequent raids during the Johnson-Nixon-Ford-Carter era stopped with Reagan, who believed in the free market.