The issues everybody cares about. Hispanics aren't one issue voters. Have you ever heard a Latino say "if Republicans only moved on immigration, I'd vote for them?"
A few things for you:
http://www.pewhispanic.org/2012/10/11/top-issues-in-this-years-presidential-campaign/
1. The deficit and taxes are as important as immigration.
When it comes to immigration, one-third (34%) of Latino registered voters say the issue is “extremely important” to them personally. This is unchanged since 2008 (
Lopez and Minushkin, 2008). This year, Latinos rank two other issues—the federal budget deficit (36%) and taxes (33%)—as important as they rank immigration.
2. Jobs/economy, health care, and education are MORE important than immigration.
The same three top issues are identified by both Latino registered voters and all Latinos. For all Latinos, fewer than half say that jobs and the economy (47%), education (47%) and health care (44%) are extremely important to them.
http://www.pewhispanic.org/2012/11/07/latino-voters-in-the-2012-election/
3. Obama won among Florida Cubans. Cubans!
Obama carried Florida’s Hispanic vote 60% to 39%, an improvement over his 57% to 42% showing in 2008. Also, Hispanics made up 17% of the Florida electorate this year, up from 14% in 2008.
The state’s growing non-Cuban population—especially growth in the Puerto Rican population in central Florida—contributed to the president’s improved showing among Hispanic voters. This year, according to the Florida exit poll, 34% of Hispanic voters were Cuban while 57% were non-Cuban.
Among Cuban voters, the vote was split—49% supported Obama while 47% supported Romney. Among the state’s non-Cuban voters, Obama won 66% versus 34% for Romney.
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No Latino group has a more favorable immigration policy than Cubans and the "wet foot, dry foot" policy. A Cuban and a Mexican could cross the border at the same time and the Mexican would be deported and the Cuban would be welcomed and given a path to citizenship. This is a group that has been in the tank for Republicans for a long time. Cubans don't have to worry about immigration at all and they still go for Obama. It's going to grow as the old Cubans who survived the revolution die off and younger more moderate and liberal Cubans take their place.
I'll sum this up with one important thing that Republicans don't seem to realize.
Hispanic voters are US citizens. They're already here. While many do care about the plight of Hispanics trying to come to the US and Hispanic non-citizens who are here legally and illegally, the key thing is Hispanic Americans don't want to be treated as second class citizens by xenophobes who want to check their papers because they don't look like what Republicans believe Americans should look like. Again, your biggest problem is that Republicans DO NOT WANT a platform that is attractive to Hispanics. Any candidate who tries to open up the party will not get nominated.