In every Trump speech, almost every sentence is a run-on sentence. Here is a quote from one of his speeches last year

Look, having nuclear—my uncle was a great professor and scientist and engineer, Dr. John Trump at MIT; good genes, very good genes, OK, very smart, the Wharton School of Finance, very good, very smart—you know, if you’re a conservative Republican, if I were a liberal, if, like, OK, if I ran as a liberal Democrat, they would say I'm one of the smartest people anywhere in the world—it’s true!—but when you're a conservative Republican they try—oh, do they do a number—that’s why I always start off: Went to Wharton, was a good student, went there, went there, did this, built a fortune—you know I have to give my like credentials all the time, because we’re a little disadvantaged—but you look at the nuclear deal, the thing that really bothers me—it would have been so easy, and it’s not as important as these lives are (nuclear is powerful; my uncle explained that to me many, many years ago, the power and that was 35 years ago; he would explain the power of what's going to happen and he was right—who would have thought?), but when you look at what's going on with the four prisoners—now it used to be three, now it’s four—but when it was three and even now, I would have said it's all in the messenger; fellas, and it is fellas because, you know, they don't, they haven’t figured that the women are smarter right now than the men, so, you know, it’s gonna take them about another 150 years—but the Persians are great negotiators, the Iranians are great negotiators, so, and they, they just killed, they just killed us.

[Source: Slate magazine]

I understand a run-on sentence is usually just something like:

It will be dark soon we can't be home before nightfall.

Is Trump's typical speech habit considered multiple run-on sentences? Or what would the term be. And being a speech, is this an error in English language in general, a grammatical error on his part, something else, or no errors at all?

EDIT: Since I have received negative comments over the quotation, I would like to clarify: I don't care about the quotation, I googled an example of a Trump speech to use for reference and found this. Since I apparently found a bad quote, or maybe something he never actually said, here is a different quote for reference. Note that I felt it would be inappropriate to replace the main quotation since this question has already been answered and I feel altering it would be unfair:

And in 19 — and I will tell you this, and I said it very strongly, years ago, I said — and I love the military, and I want to have the strongest military that we’ve ever had, and we need it more now than ever.

[Source: The Wall Street Journal]

Similar to the (bad example) speech above, this quote has Trump starting off with one thought, going to the next, interrupting himself to mention his love for the military, and then closing without finishing either prior thoughts. I didn't know what this was called, and was unsure if there was a term for this speaking style and whether or not it was in violation of any English rules.