So, max, it would appear that what you are saying is that, in the places where we have the most people immigrating into the country illegally, we see the highest number of arrests and convictions for illegal immigration. Exactly what does this have to do with Mexicans being rapists and murderers?
You, like some others, seem to have missed both the facts and the point. We not only see arrests related to immigration, but also for the majority of offenses in drugs and/or violence. Nor are these immigration arrests and convictions for ordinary border crossing or the typical repeat offenders (folks who are detained and deported), but for serious repeat offenders whose records show dubious or criminal history.
The point is that illegals contribute to undesirables and criminality, the core point of Trump.
The point is that neither he nor you can demonstrate this to be true, other than in the tautological and trivial sense that it is illegal to live and work in the US without the required documents.
Trump's comments that inspired the article in the OP and, indirectly, the OP itself, were not even about 'illegals'. He was talking about legal migration to the US from Mexico.
That you conflate the legal and illegal groups, as no doubt Trump hoped many would, is unsurprising - but it is rather disappointing.
It seems that any part of what Trump says that we successfully demonstrate to be bullshit was, in your assessment, 'non-core'; if we are to believe you, his core point still stands as a shining beacon of truth, despite having been whittled down to nothing.
Trump said a bunch of stuff about immigrants from Mexico. None of it stands up to scrutiny; it is all just populist xenophobic bullshit, designed to appeal to the redneck GOP base who are convinced that the only reason they haven't had employers lining up at their trailer park to drag them off the couch and give them a well paid job (that doesn't require putting down their beer or TV remote) is that Mexicans have stolen all the jobs from them.
There is no 'core point', just a 'core sentiment' - brown people are not real Americans, and Americans, be they never such pathetic losers, can look down on them. His words were said with a view to emotional, not rational, point scoring.