When a politician gets heat from both the left and the right, often times that same elected official will remark upon this bipartisan opposition as a badge of honor, saying something along the lines of 'well, if they hate you on both sides, you must be doing something right.'"
That might be the case. Or the policies being opposed might be so odious that it leaves nobody satisfied. That would be the case when it comes to illegal immigration.
Lately the conservative answer to the question has been a blanket platitude to 'secure the border,' and until that's accomplished, there's nothing else to say about the matter.
Latinos and many of their advocates on the left, however, have been frustrated that there hasn't been an effort for a comprehensive illegal immigration bill (but the votes aren't there in Congress). And now they are extremely upset with President Obama for the large number of deportations of undocumented citizens that have come under his watch (not that the Republicans have ever given him any credit for that).