With two muslim groups fighting I'm sure they would be in the middle...fair game for both groups
Alliances and rivalries in the ME are so complicated, it's hard to follow them without a scorecard (and even with one). It's not always a simple matter of one religious group against another. For example, the Muslims in Syria are mostly Sunni, led by an ostensibly secular government and a ruling family that is of a different Muslim sect altogether, and they have thrown their lot in with the Iranian and Lebanese Shiites for political purposes. I don't think I'll ever figure it all out.