Alex Jones, the pro-gun radio shock jock who founded a petition to deport Piers Morgan from the US, has launched into a series of lengthy tirades on the British host's CNN show (video) – calling Morgan a "hatchet man of the new world order", warning him that "1776 will commence again" if firearms are taken away and challenging the presenter to fight him in a boxing ring.

After a briefly civil start as the two sat face to face, Jones launched into conspiracy theories about global banks trying to disarm US citizens, Britain being a "police state" plagued by violent crime despite gun curbs and declared that all the world's tyrants had disarmed their people.

As Morgan tried to interject with questions, Jones continued with his browbeating delivery, declaring that Morgan would not deter him with "little factoids". Morgan had been attempting to discuss the types of firearms used in major US massacres and the relative rates of gun killings between America and other countries.

Morgan has enraged the extreme end of the US gun lobby by calling for a ban on high-powered assault rifles and large ammunition magazines. On the day of the Newtown school shootings in the US the host angrily confronted members of the pro-gun movement on his nightly show, denouncing as "total hogwash" their argument that more guns mean less crime.

• This article was amended on 8 January 2013. The standfirst (summary) incorrectly quoted Alex Jones talking about "1778 commencing again". The year he actually mentioned was 1776. This has been corrected.