The Iron Wall operation began in January and mainly targeted refugee camps, emptying them.
The identity of the two suspects, as well as further details into the investigation, are under an active gag order.
The men were said to have posted videos on social media praising Tehran's attacks.
The missing is an immigrant to Israel from the US, who went missing after getting separated from his trekking group nearly a week ago.
Rising crime, internal security failures, and a government distracted by photo ops paint a troubling picture of Israel's future.
A further investigation raised suspicions that the suspect had received stolen electric vehicles and attempted to obscure the vehicle identification numbers.
During the drill, service personnel practiced extinguishing large fires, evacuating residents, and rescuing both citizens and emergency service personnel caught by fires.
Samuel Vengrinovich, 44, was last seen on Friday after leaving for a hike with a Dutch national at one of his campsites.
Border Police officers arrested dozens of illegal residents around the outskirts of Jerusalem over the weekend.
"I believe in his innocence and am certain that he will continue to be promoted in rank, as is fitting for a man who acted with integrity and dedication," said Ben-Gvir.