The Coyotes took the lead after the Devils had killed penalties for nearly four minutes.
If the Devils have killed him, then we'll make sure they pay for the deed," Blade said.
The Devils killed three of the Stars' four power plays, including a five-on-three situation for 49 seconds at a critical time in the first period.
The Devils killed the remainder of the penalty, but the damage was done.
Stevens was also on the ice much of the time during the six penalties the Devils killed without allowing a goal.
The Devils have killed 8 of 14 penalties in those five games.
Among the six penalties the Devils killed were a 4-minute double minor and a 5-minute major.
Stevens stays on the ice longer than any of the others when the Devils are killing a penalty.
He is on the ice when the Devils have the manpower advantage or are killing a penalty - besides his regular shift.
The Devils killed two more penalties and then scored their second goal.