The loyalist who founded the modern-day Ulster Volunteer Force has told BBC's Spotlight the group should disband.
It is believed Mr Moffett had strong links to the Ulster Volunteer Force and was well-known in loyalist circles.
In January 1913 unionists set up the Ulster Volunteer Force pledging to resist the bill by force of arms.
Last month Richard Jameson, the alleged leader of the Ulster Volunteer Force (UVF) in Portadown was murdered outside his home.
The widow of a prison officer murdered by the loyalist parmilitary Ulster Volunteer Force in 1993 has welcomed the news.
The PUP, which is linked to Ulster Volunteer Force, is also understood to have met to consider the content of the latest discussions.
Thousands of people have taken part in a parade in east Belfast to mark the 100th anniversary of the foundation of the Ulster Volunteer Force (UVF).
Other loyalists, and nationalist politicians, thought the threat a crude attempt to claim the mantle of communal protector from the rival and much more politically-developed Ulster Volunteer Force.
David Ervine of the Progressive Unionist Party, which has links with the loyalist paramilitary Ulster Volunteer Force and Red Hand Commando said he did not see the UFF statement as a threat.
But Mr Ervine, whose party is linked to the loyalist paramilitary Ulster Volunteer Force, said on the BBC's Inside Politics programme it was now inevitable that the IRA would deal with the arms issue.
Men of the Ulster Volunteer Force and the Irish Volunteers put aside their differences and rallied to the defence of the Empire, fighting and dying in their thousands in the ranks of the British Army.
But in an eleventh hour move, David Ervine of the Progressive Unionist Party, which is linked to the loyalist paramilitary Ulster Volunteer Force, said he and his assembly colleague Billy Hutchinson had signed Mr Trimble's motion.
She said the Police Service of Northern Ireland's Chief Constable Matt Baggott believed senior members of the Ulster Volunteer Force (UVF) had been involved in orchestrating the violence, but without the authority of the group's leadership.
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Pastor Jack McKee, who has tried to mediate in the feud between the Ulster Volunteer Force and Ulster Defence Association on the Shankill Road, said there was growing concern over the killings since the weekend in north Belfast.
Mr O'Hagan's killing was claimed by the Red Hand Defenders, a cover name used by both the Loyalist Volunteer Force (LVF) and Ulster Defence Association.
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