There is much evidence the GOP is caving on immigration reform, and will shortly sign off on a largely Dem bill in order to placate Hispanic voters. Before they do, they should consider some of the information in this article from The Guardian (U.K.).
The most persuasive thing the article says is its last point: "Most Latino voters don't live in swing states." The two biggest Latino states are CA and TX, CA is unlikely to swing to the GOP and TX is already there.