Members of the Orange Order and victims of IRA violence are planning to stage a parade through the centre of Dublin next month.
Unionists have already staged a similar event in Belfast
Its organisers have said they want the Irish government to know how they feel about legislation which will allow paramilitary fugitives to return to NI.
Irish police have yet to give their permission for the march.
Organiser Willie Frazer said they hoped the DUP's Ian Paisley and Jeffrey Donaldson would speak at the event.
"There is double standards here when it comes to the Irish government," he said.
"They are expecting us to take murderers into government in Northern Ireland, while at the same time they have quite clearly said they will not take them into government in the Republic of Ireland.
"We keep hearing this word justice and this word equality but it doesn't seem to come into place when it comes to the Protestant/unionist community."
Mr Donaldson said he would be supporting the march.
"There is support in the Irish Republic for the position we are putting forward," the Lagan Valley MP said.
"Indeed the main opposition parties there have all came out against the 'on-the-run' legislation and the amnesty that is being granted to terrorists on both sides of the border."