No, Brian!
Perhaps they didn't tell you that many Syrian refugees live now in camps in Lebanon, Jordan, Turkey and some other countries. More and more are arriving in Greece.
The Greek government considers these people as refugees and therefore allows them to stay temporarily in Greece.
Greece is an EU member state.
If the Levant collapses into further and extended turmoil, how many more people could be heading West as war-refugees?
There are already millions of Syrian refugees.
And millions of Iraqi refugees already from T. Blair's intervention there.
Will the Government fuel more war and destruction in Syria?
"The United Nations High Commissioner for Refugees estimated in a report released in November 2006 that more than 1.6 million Iraqis had left Iraq since March 2003, nearly 7 percent of the total population. The BBC on 22 January 2007 placed the refugee figure at 2 million. By 16 February 2007, António Guterres, the United Nations High Commissioner for Refugees, said that the external refugee number reached 2 million and that within Iraq there are an estimated 1.7 million internally displaced people. The refugee traffic out of the country has increased since the intensification of civil war."
http://en.wikipedia.org/wiki/Refugees_of_Iraq