One way to get Hispanics on board a conservative bandwagon -- or any ethnic group, I would think -- is to make them want to be Americans.
If you go there with Hispanics you will lose.
Think about Latin culture and the Patron system. The personal touch wins out over any mass-media approach.
Amnesty is not required. Helping kids with their homework, keeping the parks safe, and making sure the streetlights are on will go a lot farther with these folks.