They are considered “refugees”.
You’re right, they are classed as “refugees,” even though they’re simply one band of Muslims who hate us whose territory has been destroyed by another band of Muslims who hate us.
When there was discussion of extending this “refugee” status to certain African groups, one of Bush’s big concerns was to be able to provide Christians - who genuinely are persecuted in Africa, by Muslims, of course - with refugee status. But Congress specifically prohibited that, although I don’t recall the details of how they did it. The result is that we got yet another flood of Muslims who hate us.
That's where we go wrong. The only valid reason for bringing refugees here is to train them, arm them, and send them back to liberate their homelands in the name of Democracy and Freedom. Instead we bring them here and add them to the welfare rolls or use them as cheap labor that will eventually end up resenting this country regardless of the tax payer benefits lavished on them.