The Immigration Control Platform (ICP), led by Ms Aine Ni Chonaill, has called for tighter asylum laws.
It wants the Government to depart from an international law it claims is effectively an "open borders" asylum policy. It says the system forces states to collude in the "invasion" of their own countries.
The group yesterday started a postcard campaign urging the Government to opt out of the United Nations Geneva Convention Relating to the Status of Refugees of 1951.
Under the convention, countries must process all asylum claims and cannot impose any limits on the number of asylum-seekers they accept. The ICP wants a new quota system, under which a person's asylum needs would be determined before they entered the country.
"Everybody except a handful of anarchists accepts that we cannot have an open borders policy," Ms Ni Chonaill told a press conference in Dublin. Ms Ni Chonaill said the recent low level of deportations, ranging from one to 32 per month, meant that these people would only be removed in "token" numbers. It was well recognised that most of them "just want to get to the West," she added.
"You are dealing with `all in and no out' and if that is not an open borders policy then I don't know what is." The public did not know that the Government could opt out of the convention, she said.
The Anti-Fascist Action group last night condemned the ICP's initiative. "The ICP proposes that people fleeing from war and persecution should remain in their home countries, risking torture or death for years, awaiting some notional approval by the Irish Government to enter this country," Ms Jo-Anne Tobin said.
The Irish Commission for Justice and Peace said the platform's call was "deplorable and implicitly racist".