Again, you're making the assumption that the people fleeing sectarian violence are resorting to sectarian violence and not simply squabbling because of their circumstances.
We have problems with our asylum seekers fighting in detention camps - and it's not because of sectarian issues. It's because of the conditions in the camps; abuse from guards, inadequate access to medical care and legal representation, a general lack of information about the progress of their asylum claims, and pressure from the government to return to their homes. Sectarian disputes are the last thing on their minds, and I see no reason to believe otherwise here ... except for "they're Muslims".