The religion is properly Druzism. An adherent is a Druze. Or Druze faith would be accurate. So Druzism should be an acceptable answer.
It's a good series though
... unfortunately a very sad political situation. Though not as bad as their neighbors in Syria, of course. But still not good. I'm not one to blame anything and everything on the West or colonialism etc, but it's hard not to think that Sykes and Picot couldn't have done a better job.