Jones, on his website infowars.com, had an image of Morgan dressed as a "Redcoat" next to Jones himself dressed as a "patriot."

A summary of his plan for Tuesday's radio show said he would discuss "his effort to defend the Constitution and the Second Amendment from attack by the establishment media as the government prepares its latest gun-grabbing assault on law-abiding Americans." The description adds that through the interview, "we have put the globalists on notice."

On the program, he said that 95% of people he has heard from "think that I just told it like it was" and "slammed them hard," delivering an important message.

"I have been overworked," Jones added, describing a busy schedule. "But I did the best job I could and I'm proud of the job I did overall."

Responding to Morgan's depiction of how the interview went, Jones asked whether that was because he is "a hillbilly that won't be your slave and knows history."

He described Morgan as being like "a mannequin, a vampire."

Though many found fault with Jones' performance, some found common ground with his arguments.

"The tact with which Jones presented himself with was inexcusable. However; looking past that (I know... hard to do especially after that English accent he so offensively portrayed)... I have to say that his statistics were much more compelling than Piers's. I mean, ok, gun violence is higher here in America... but it has a lower violent crime rate than those countries with banned fire-arms?" PhilipCabibi wrote in the comments section of this article.

"I see where Jones was trying to go, but unfortunately, he presented his facts in such a manner that it will turn most off to them. Which is unfortunate... because no matter how rude someone is, it doesn't change facts and it doesn't change history."

'Meltdown' or 'punching out?'

Reactions on social media were blunt.

New York University journalism professor Jay Rosen called the interview a "meltdown" and called Jones "revolting."

James Poniewozik, TV columnist for Time -- which, like CNN, is part of Time Warner -- wrote, sarcastically: "Shocking: You reward a lunatic on TV for pulling a stunt," and he fails to "behave with civility."

Facebook user Steve Spark made similar comments in a CNN discussion. "If you have a nutjob as a guest, you can't be surprised when they act like a nutjob," he wrote, adding, "Some might say it makes for good TV, but I think it's just embarrassing."

The Huffington Post summarized the program this way: "Piers Morgan's pro-gun guest goes absolutely nuts at him."

Jones retweeted a supportive note from Gerald Celente, who has 36,000 followers. "Bravo," the tweet said, praising Jones for "punching out CNN Presstitute Piers Morgan."

CNN iReporter Jason Asselin posted a video saying he believes that Morgan has no right to debate gun control in America, and that only U.S. citizens should do so.

Jones' appearance on "Piers Morgan Tonight" was followed by an interview with famed attorney and Harvard law professor Alan Dershowitz.

"We lawyers refer to people like that not as witnesses, but as exhibits," he said of Jones. "He was an exhibit, like a piece of evidence. You see him speaking and you say to yourself, 'I don't want that man to have a gun.'"

Dershowitz said Americans who want even-handed gun policy should not leave the arguments up to gun advocates such as the National Rifle Association and Jones without speaking up themselves.

"We have to fulfill what the real meaning of the Second Amendment is: reasonable access to guns for self-protection and for hunting. And there's no room in America for these semiautomatic, automatic and other kinds of weapons that are simply designed to cause mass havoc," Dershowitz said.

In addition to the limitations on military-style rifles, Morgan wants gun show loopholes closed and demands that gun dealers be required to run background checks on purchasers at shows.

He also advocates an increase in federal funding for mental health treatment to anyone who needs it.

Morgan recently wrote a column in the Daily Mail saying that for every critic, he has had many Americans thank him for speaking up in favor of gun control.

"If you don't change your gun laws to at least try to stop this relentless tidal wave of murderous carnage, then you don't have to worry about deporting me.