The police said they did not believe the shooting was linked with the Shankill feud.
In Belfast, a protest closed the bottom of the Shankill Road for a time.
Tension raised by the feud has forced 36 families to leave their homes on the Shankill Road.
Tensions are high on the Shankill Road Belfast where the feud between the rival loyalist organisations is centred.
Meanwhile, the police are investigating a number of disturbances in the Shankill area which happened on Friday afternoon.
The Shankill Road-based Young Conway Volunteers band also defied a ruling which barred them from marching past the church.
It said more than 100 Shankill families had so far received emergency payments.
"We told the committee about the problem affecting an area of 120, 000 people, from the Shankill to Poleglass, " he said.
The shooting incident took place while a crowd was standing in the Hopewell Crescent area of the loyalist Shankill Road.
One resident told BBC Radio Ulster he believed those who attacked the houses were from the Shankill area of west Belfast.
At least two masked gunmen wearing fluorescent jackets shot Mr Moffett at the corner of Conway Street and the Shankill Road.
The PUP's William Smith blamed the lower Shankill UFF for both attacks, saying that they were intended to sabotage Friday's meeting.
The killings follow a weekend of tension on the Shankill Road which led to the re-imprisonment of convicted UFF commander Johnny Adair.
Protestant ministers on the Shankill Road have met in an effort to urge both sides to seek mediation to end the dispute.
On Thursday, the police uncovered a weapons cache in a planned search on Malvern Way in the Shankill which they said "undoubtedly saved lives".
The escalating tension has led to thirty six families leaving their homes on the Shankill Road and applying to be rehoused since the weekend.
Meanwhile, around a dozen women from the loyalist Shankill Road area of Belfast staged a protest outside UUP headquarters where the meeting was being held.
Earlier, First Minister Peter Robinson said the arrest of the man convicted of the IRA Shankill bomb could have "grave consequences" for the political process.
Sculptor Ross Wilson said he hoped 'Millie' would "help explain the significance of the Greater Shankill area to Belfast's history to local people and visitors alike".
Three men have been shot dead in the violence and many families have been intimidated from their homes in the loyalist Shankill Road area of Belfast.
Councillor Smyth was also not forthcoming on the more recent split between the veteran Spence and the UVF's Shankill Road leadership over the murder of Bobby Moffett.
BBC: Selective memories of Martin McGuinness and Gusty Spence
Meanwhile on Friday, the UDP chairman John White said the disturbances on the Shankill showed the urgent need for the talks between his party and the PUP.
Although there are problems with the new system, Bill Manwaring, a Conservative politician who works with the jobless on the Shankill Road in Belfast, said reform is necessary.
Meanwhile, a clergyman has said people on Belfast's Shankill Road are fearful following an outbreak of violence between rival loyalist paramilitary groups in the north of the city.
On Wednesday, most of the community groups based on the Shankill Road issued a statement calling on the paramilitary groups to find another way of resolving their differences.
Last week, 14 members of both organisations were to meet to discuss the feuding in the Shankill area, but this was cancelled because of the killings in north Belfast.
However, unionists said it would take time for the hurt caused by the remarks to abate and welcomed her decision to cancel the visit to the mainly loyalist Shankill.
BBC: Mary McAleese and her husband Martin during Belfast visit
Earlier, assembly members made separate statements about Israel's raid on a flotilla of Gaza-bound aid ships, and last week's murder of Bobby Moffatt on the Shankill Road in Belfast.
The centres are also offering the families - mostly Protestants from both sides of the loyalist community in the Shankill - counselling and other support services, the trust said.
Following the remarks, Ulster Unionist councillor for the area, Chris McGimpsey, said Mrs McAleese would be welcomed back to the Shankill in the future, but the time was not right now.
BBC: Mary McAleese and her husband Martin during Belfast visit
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