Dude this is your observation. What happens if that one guy you think may or may not be paramilitary just decided to wear that or say he had some specific reason for wearing it.
As for Arab and Muslim, Chechans are Muslim and often have Arab fighters fighting with them. That's nothing new. Religious demands? These fighters aren't fighting for an hour off to go pray. Their religion is tied in with their nationalism. Arab Muslims are fighting with Chechan Muslims because of Islam.
-Rudey