Opposition TDs and Senators have come together calling on the public to oppose the dilution of the 'triple lock'.
The Irish Neutrality League says Government plans to amend the triple lock will undermine Ireland's neutrality.
At present, Irish legislation requires that any deployment of more than 12 Irish troops overseas requires Government backing, approval by the Dáil and a mandate from the United Nations.
But the Government argues that the third element gives permanent members of the Security Council - like Russia and China - the ability to veto peace-keeping missions in which Ireland could take part.
The group says that the majority of the population remain committed to neutrality, and that efforts to remove the triple lock would "erode Ireland's democracy and our international credibility as a voice for peace".
The Social Democrats have previously introduced a motion to the Dáil calling for a public vote on the triple lock, but lost a Dáil vote on the matter.
Social Democrats TD Sinéad Gibney said that the existing legislation allows for peacekeeping missions to be mandated by the General Assembly.
While she admits that this provision was only used once more than 50 years ago, she questions why the Government will not explore this possibility further.
"I have not had a satisfactory answer to the questions: 'What are you doing to explore ways in which the UN... we know it's not perfect... but what have you done to try and find a solution within the structures of the UN? Why aren't you trying to use the General Assembly?"
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Sinn Féin also makes the point that Ireland's peacekeeping missions are not being hampered by vetoes, rather than because of a lack of funding of the Defence Forces.
The party's spokesperson on Foreign Affairs, Trade and Defence, Donnchadh O'Laoghaire said: "The biggest obstacle to Ireland taking part in peacekeeping missions has been their neglect of the Defence Forces, leading to the withdrawal from the Golan Heights, and the exodus that is continuing from the Defence Forces."
Read more:
Explainer: Triple Lock or not for peacekeeping missions
People Before Profit TD Paul Murphy said: "The removal of the triple lock would fatally weaken Irish neutrality."
The Cabinet has already given approval for the changes, with the Tánaiste and Minister for Foreign Affairs, Simon Harris, saying the focus is very much on ending the veto that permanent members of the UN Security Council have on such missions.
While Independent Senator Alice Mary Higgins said "the public has been very clear ... they actively value neutrality".
A spokesperson for Minister Harris confirmed that the Government hopes to pass the required legislation before the Dáil summer recess.
Other TDs have said the Government must allow time for a full debate on the issue and must not force through a vote.
