You state that you want to "ignore any crimes that are due to their illegal status, such as not paying taxes," but it may help you narrow the focus of your question to know that in fact illegal immigrants pay millions of dollars of taxes in each state annually, and that this is counter to Trump's claims as well. usnews.com/news/articles/2016-03-01/…

Thank you, good point! I was surprised to see that the article I linked to didn't even link to the study itself (and the first link I found to it was already dead, which really supported your point about link rot). I've added two separate links to the study, and skimmed it to make sure that the article was accurate in reporting its findings. Also added a couple of specific points from the study that weren't previously covered here or in the article.