You don't see many Democrats pushing laws that Hispanics American citizens see as targeting them.
It is not just SB1070 and continual Republican opposition to comprehensive immigration reform. It is laws banning ethnic studies. It is repeated attempts to keep businesses from speaking Spanish and even race-based opposition to Hispanic judicial nominees.
Sure, there are some Republican individuals who aren't anti-Hispanic, but as a whole, every single political or legal effort that Hispanic Americans see as anti-Hispanic is being predominantly backed, initiated, defended and promoted by Republicans.
Looking at it through the eyes of a Hispanic American, Republicans are the party of anti-Hispanic.