I haven’t watched either debate yet so I don’t know how accurate this is. Given that it’s The Onion, it may even be totally bogus. Then again, sometimes the truth works as satire when it’s presented the right way. In this case, as a word cloud.
Was “Pillage” actually the most common word? Did someone actually say “Bigger, chunkier military” not once but at least several times?
Of course it’s totally bogus. Obviously so. It’s The Onion.
As you suspect, the Onion is a satirical site. This is not an accurate graph (funny though it may be).
Oh I didn’t just suspect. I knew for certain that it’s a satirical site. But like Jon Stewart, sometimes the straight truth is as funny as anything.
Hey. Poe’s law. It’s hard to tell sometimes. 
“I stand with the President”
You had to even ask if that was really one of the most common phrases? 
Except that some of the cloud is amusingly accurate.
Just a sample.
I hadn’t read them all.
I suppose that could have been something like “When I’m elected, people will be able to proudly say ‘I stand with the President’.”
But obviously it’s bogus.
Wait… are you satire?
What do you think? 
Right. Factually bogus, but true in spirit.
Unless you’re saying that those things were actually said. I can easily believe “Fetus killing fields” and “Don’t look that up”. “Corpse of Ronald Reagan” is a little more questionable but not impossible. But “Bigger, chunkier military” was said several times? “Bigger military” I could absolutely believe, but “chunkier”?
That’s what I meant.
Someone invoked Reagan.
Someone said our military was small and weak.
A number of things, they hope no one will look up.
It’s a mix of totally made up and based on things that were actually said.
I’m pretty sure everything in that word cloud was, in fact, uttered by one of the candidates. Even the phrase “I stand with the president”, I kinda sorts vaguely remember one of them saying, but I don’t remember what that was referring to. The sizes of the text, reflecting frequencies, looks totally bogus. The phrase “I hope no women are watching” certainly was spoken only once.
Pearls, rubies, dubloons.
Cookout at my house.
350 degrees for 45 minutes.
Triple-berry blast.
Maybe not. 
Transcript of debate courtesy of CBS News. Searchable plain text (i.e., html, not PDF image).
[ul]
[li]“My siamese twin”[/li][li]“Hard bodied hunks”[/li][li]“Street meat”[/li][li]“My friend God”[/li][li]“Bigger, chunkier military”[/li][/ul]
If you’re right then I definitely have to watch this thing.
Okay, just poked through that transcript I linked. Can’t find “stand with the president” anywhere.
Now let’s see which of the other phrases in that word cloud were actually spoken.
A page search on “chunkier” finds nothing. I was actually hoping that it would be there.
Okay, now I can’t find any of those phrases in the transcripts. And I’m sure at least some of those were said. Was I hallucinating the whole thing?
Aha! At the beginning of the transcript, it says “Transcript provided by Fox News”. Was it edited? I’m going to look for some others. Megyn Kelly asked Trump a question about some of the misogynistic things he’s said over the years, and Trump more-or-less doubled down and stood by what he said – and he said “I hope no women are watching” or something very much like that.
A search on “siamese” doesn’t find “my siamese twin”, but it does find a statement from Carson: "I’m the only one to separate siamese twins… ", which makes sense in it’s context.
I have it on my DVR. I’m not about to sit and make a transcript, but if I get around to watching it I’ll try to look for some of those phrases. The more oddball ones would certainly stand out. However, for example, the word “owls” is not in the transcript and I can’t imagine why Fox would consider owls to be controversial enough to leave out of the transcript.