PTTG??, in the interest of credibility, would you be willing to cite some research articles, or better yet, metastudies that backup your claim that immigrants are less likely to commit crimes?
My basic intuition about poverty contributing to crime causes me to be skeptical of the claim, and even more curious about the proposed mechanism or reason. Immigrants from e.g. Britain or Japan are likely to have significant differences in demographical statistics (profession, wealth, number imprisoned, etc.) from either refugees, mexican immigrants (who, yes, make up a large enough portion of immigration in the US to need need a category), or immigrants from India. All of these people have different cultures they are coming from and different situations they are arriving into. I am quite capable of believing that immigrants from India, Britain, and Japan commit crimes at a lower rate than the general US population; many are probably here for relatively high-level work or education, so it makes sense that they would be more careful and/or concerned about staying in the US compared to people who can't be deported because they have been citizens of the US for their entire lives. Immigrants from Mexico I can fairly well see very similarly, the major difference being the professions, but also probably having a family to be worried about taking care of a fair portion of the time as well; much easier to bring your family up a few hundred miles than several thousand, and if you plan to not go back to Mexico, there's more reason to.
On the other hand, immigrants from basically anywhere that's wartorn, or extremely poor but with a significant U.S. presence in the recent past, is probably in a different situation. They come primarily to escape poverty, but perhaps with minimal idea of how to accomplish that other than 'work in America'. They are of a completely different culture - India is largely Hindu but had Britain occupation for so long that they are by no means unfamiliar with Anglo/Western culture (in the sense of English speaking countries). Mexico and Britain are both still largely Christian nations. And yes, religion, especially the religion of your background home, has a huge influence on culture. Most Islamic countries don't have the same exposure to western culture that Japan or India does. Culture shock is a thing, a large chunk of the U.S. is fairly obviously hostile to Muslim immigrants, and crime is already on the margins so slight changes like that can and likely will affect it. Then if you further consider how often black people are impacted by the system and mandatory minimums, artificially inflating the crime rate of the general population (particularly if you go by crimes per 100,000 or prison population per 100,000 rather than violent offenders per 100,000), then you may get something else entirely.
Do remember though, that arguments are not soldiers; I'm not trying to support Trump, the righr, and certainly not VOICE (media already distorts our view of how common crimes are plenty) by asking you to back up your claim. Nor do I think that marginal increases in crime rate justify prejudicial treatment or banning certain countries. I don't think that immigration is all sunshine and roses, but it's certainly not going to bring about the fall of the United States of America(and on net it's probably positive atm).
So yeah, that list is horrifying and I was proven so very wrong about Trump. Goddamnit. He's just as bad as people were worried he would be. I was hoping so badly that he would do an about-face after he won.