I am sure if you asked most illegal immigrants from Latin America what the most important thing to them is... they would probably say money, beer (alcohol), and a good vehicle (car). Religion would be far down their list of things that they consider important.
In 2004, the republicans won an astounding and never discussed, 56% of the Protestant Hispanic vote.
Even in 2008, in the perfect storm of the first non-white presidential candidate, running in an election that the republicans had no chance of winning, Hispanics who were Protestant, voted 48% for McCain.
This reflects the normal religious divide in America, with Catholics and atheists supporting the democrats, and Protestants supporting the republicans.