There has been a warning that INLA involvement in the peace process is at risk because of the actions of the Government, especially over jailed kidnapper Dessie O'Hare, who was denied Christmas home leave.
In a statement critical of the PDs, Fianna Fáil's coalition partners, Mr Eddie MacGarragail, an IRSP ardchomhairle member and prisoners' representative, asked: "Is Bertie and the rest of the Government dog being wagged by the PD tail?"
The statement said: "Let's be clear about this, a good sense of cynicism now exists among the membership of this movement, who see our leadership and prisoners being treated with contempt by the Free State Government, elements of which are shamelessly using Dessie as a hostage.
"Risks must be taken and courage must be shown if the process is to work, and it must work for everyone, not just a few or those deemed to be acceptable to the PDs.
"The case of Dessie O'Hare and those imprisoned for the killing of Garda during the late war encapsulates this; if it's over it's over, you can't cherry-pick who you let out and who you keep in."
Warning of future INLA/IRSP withdrawal from the peace process, he said: "Therefore our bottom line is this; our engagement in this process is at risk, and we're not trying to play games here, but we have serious doubts about the motives and actions of some segments of the Free State Government.
"Either this Government is serious and genuine about this process, and proves it, or we step back."
Another IRSP ardchomhairle member, Mr Terry Harkin, condemned the response of some members of the media in turning this into a "ceasefire only issue".
"The fact that some segments of the press are becoming hung up on the implications to the INLA ceasefire of the O'Hare case is symptomatic of what is going wrong in the entire process. Scare-mongering is replacing good old-fashioned investigative journalism."
He accused the PDs and elements within the Garda and the media of being in league to subvert claims to Irish sovereignty, and to act as "eyes and ears" for British interests.
Dessie O'Hare was jailed for 40 years for the kidnapping of Dublin dentist Mr John O'Grady in 1988. Mr O'Grady was assaulted while in captivity and had parts of his fingers cut off while ransoms remained unpaid.
He was eventually freed, but O'Hare evaded capture until he was picked up after a shoot-out in Co Kilkenny.
O'Hare pleaded guilty at his trial. He was allowed out temporarily from Castlerea prison early last month in a move which could lead to his eventual release under the Belfast Agreement.