On issues Hispanics are mostly liberal. Hoping that their Catholic faith will make them socially conservative is like hoping that Pope Francis is, deep down, really a conservative. It just doesn't pan out. Immigrants generally reflect the culture of their country of origin. The United States has a unique culture of liberty, especially when it comes to freedom of religion, speech and self defense. We could limit immigration to hardcore anti-communists from Russia, Cuba and Eastern Europe, but that's a pipe dream.
Liberal? Not the Hispanics (mostly Mexicans) I know around Rockford, IL.
One of my best friends in Connecticut is the son of a Columbian immigrant mother and a now deceased Italian father. He is most famous for his ringing defense of Pius XII against ridiculous allegations of being "Hitler's pope," writes for Inside the Vatican and First Things and National Review and has been an invited speaker at the Vatican. You should be so fortunate to be as conservative as he is. So should I.
The Mexicans ARE social conservatives. Their Catholicism is sometimes more in question. Some become Evangelicals or even Pentecostals but, in doing so, become more likely to be Republican and politically conservative across the board. This is also true of SOME Puerto Ricans on the mainland.
Most first generation immigrants are seduced by the Demonrats with promises of the welfare state safety net even though many take no advantage of it. It is a safety net in what seems to them a strange land. Many are ambitious for educational opportunity. At our local community college, many engineering students are Hispanic and avid learners who will go on to complete their professional studies at four year universities.
In the foreign homelands of my British, Scottish, Irish, Canadian and German ancestors, the cultures did not support liberty, freedom of religion, self defense, freedom of speech. If England which came closest had supported such liberties, no revolution in the "colonies" would have been necessary. The Canadians and Germans and Scots and Irish fared no better at home. My ancestors wanted to come here for those and other reasons and easily learned to enjoy American liberties. There were individuals from those countries whom we could do without. Most were worth having here. There is no DNA for loving chains and slavery.
At the moment the Muslims are another story because of our inability to recognize the "religiously" motivated criminal lunatics among them. They cannot pass to us the responsibility of policing their own. They have to stay home until they clean up their act convincingly for a very long time. The safety of our own people, all of them, demands that we exclude potential terrorists."
Unless you ask, I won't recite a litany of outstanding immigrants who achieved massively for themselves but also for our country. If you deny that, just say so and I will do a litany starting with Andrew Carnegie who came here from Scotland as a child with his widowed mother. Ever use products of US Steel? Or visit a Carnegie funded public library? For a orphaned immigrant child, he did just fine and he paid it forward.
This year, we had TWO Cuban American candidates for POTUS, both already elected US Senators. That is America at its best. Nikki Haley and Bobby Jindal's roots are in India before parents emigrated here. The late Daniel Inouye may have had a very regrettably liberal Senate voting record but no one can deny that he lost his arm in combat in Europe during WW II and was a genuine hero while our country was confining his fellow Nisei to what amounted to somewhat comfortable concentration camps because we did not trust them.
Ironically, it was the FDR Democrats who confined the Nisei and then California Governor Earl Warren, a nominal Republican, who was in charge of the caps but the Democrats get most of the Japanese Americans' votes. Republican Douglas MacArthur was practically deified by the Japanese in Japan for his humane post-war rule there and even more so by South Koreans after he chased the reds out and was fired for his eagerness to conquer the North and seal the Chinese border with a radioactive cobalt strip (that would be a relatively cheap and very effective Wall that does not even spoil the landscape). Cross it and you get cancer and die.
Puerto Ricans are reasonably responsible (not their government but the people themselves in Puerto Rico). When they come through, New York City, they are bedded by the welfare state leeches. How eager are even they for abortion or deviant sex in their own ranks?