Frazer said IRA victims couldn't be held responsible if there was serious violence again.
"We're not setting out to cause trouble. If republicans react violently to our democratic right to march, that's their business," he added.
Frazer said FAIR's dossier on alleged Irish state collusion with the IRA showed that the IRA was given 400 weapons from an army barracks in Dublin in 1970.
He said it also included evidence that the Southern state funded the Provos at the start of the troubles and set up training camps for them.
He claimed the Republic had been "a safe haven for terrorists" throughout the conflict and failed to provide proper Border security.
Frazer said in 1975 when the IRA shot dead his father Robert, a UDR man, a British army helicopter followed the killers to the Border but then had to stop because it lacked permission to enter Irish airspace. "How despicable is that," he added.
The Love Ulster march is supported by South Armagh pastor Barrie Halliday. "The Queen went to Dublin in person to deliver an apology for the perceived wrong of hundreds of years of British rule.
"We want an apology from the Irish state for the injustice inflicted on us," he said