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.
"Although I love the country as a second home and one that has treated me incredibly well, I would, as a concerned parent first -- and latterly, of a one-year-old daughter who may attend an American elementary school like Sandy Hook in three years' time -- seriously consider deporting myself," he wrote.