The Bible scholar and writer on radical Islamism says politicians are following what the public want and that increased security measures are necessary.
The Prime Minister today announced new laws to block suspected British jihads from re-entering the UK after fighting in Syria and Iraq.
David Cameron hopes to fast-track special exclusion orders, which effectively ban people temporarily from the country for a minimum of two years.
Terror suspects could also have their passports cancelled or seized, or their names added to a "no-fly list" to stop them entering the UK.
Ministers hope the new legislation, which would also apply to under-18s, will come into force by the end of January.
Labour say they'll look closely at the plans, but want more to be done to prevent people from becoming radicalized in the first place.
It's criticised what it calls 'Government cuts to community-led programmes' which prevent young people being taken in by 'warped ideology'.
Dr McRoy thinks the call for extra security measures are justified, but adds that still won't prevent radicalised Muslims from travelling abroad to fight.
Speaking on Premier's News Hour he said: "They're doing in view of an Islamic requirement called 'Hijrat', which means migration.
"A Muslim is supposed to migrate to an Islamic State, if it's created, and since they've called this 'The Islamic State' they regard that as the only proper Islamic State in the world.
"Therefore when they go there, they think they're fulfilled a divine order, so I don't think it's going to deter people from wanting to go.
"But what it does do, it's actually a preventative measure from letting these people come back and forth to commit atrocities."
You can listen to the full News Hour interview with Dr Antony and Premier's Des Busteed: