Sinn Féin leader Gerry Adams has described the expected Cabinet reshuffle as a matter of "complete indifference".
He also said the election of Joan Burton as Labour leader is "of little consequence" to families bearing the brunt of austerity.
Speaking to reporters as the Sinn Féin Ard Comhairle met in Dublin, Mr Adams said people wanted a change of direction and government and "unless Joan Burton is going to do that, this is a wasted opportunity".
Responding to questions on the situation in Northern Ireland, Mr Adams said the party had appealed for calm and for people to show positive leadership.
Deputy First Minister Martin McGuinness accused Unionist politicians of "dancing to the tune" of the Orange Order and the UVF.
He said there needs to be a recognition of whose agenda is being followed.
Mr McGuinness said: "We used to see in the North, Unionist politicians play the Orange card. What we're now effectively seeing is the Orange Order play the Unionist card, and we're seeing Unionist politicians dancing to the tune of the Orange Order and the UVF."
"This is a time to be calm, for cool heads and for all of us to recognise that this is a very difficult situation, approaching a crisis.
"When we have a situation where unionist parties effectively walk out of talks, cancel a meeting of the North-South ministerial council, that's a very serious matter indeed.
Mr McGuinness what was even more serious are recent remarks made by Unionist leaders "where they are clearly indicating" that this could result in the destruction of the political institutions.
"I think that's ludicrous."
Elsewhere, the Orange Order has invited President Michael D Higgins to take part in its only parade in the Republic of Ireland next year.
This is the first time the Order has invited the Irish head of state to attend the annual demonstration.
7,000 marchers from Orange lodges across the border counties took part in the annual demonstration in Rossnowlagh, Co Donegal.
Speaking at the event Grand Master of the Order Edward Stevenson publicly invited President Higgins to next years parade, saying he hopes the President will accept the genuine invitation in the spirit of goodwill and neighbourliness in which it is intended