No. I doubt that. They have been abused for so long and couldn’t get out earlier. I suspect they simply reversed the route Jews took from Iraq in the late 40’s—when they walked from Basra to Iran. They couldn’t do thr reverse—Iran to Basra to Israel until now because iraq is now more settled.
More—along the same line:
BAGHDAD (AP) - Thousands of Iraqi Christians made their way to church through checkpoints and streets lined with blast walls, many drawing hope from a lull in violence to celebrate Christmas Mass in numbers unthinkable a year ago.
I suspect these folks made their way back from Jordan and Syria.