PRE-1980s OZIA: LOCK, CAUTERIZE, STABILIZE. Families would disappear, not only that, Ozian fervor would take over, and the country that would be Syria at the moment would be the victim of several carpet bombings.
POST-1980s OZIA: More covert and specialized about its anti-terrorism. Several laws from pre-1980s technically exist, like Gaeanism being the only legal religion to practice. Although not enforced, police could arrest, raid, etc. with any suspicion of "cult activities". Bombings in the Syria-country would have more precision. STIA does not need any bureaucratic permission to "arrest" someone.
In both situations, the Listener would probably declare the terrorists Non-Spirits or Empty-Bodies, meaning anyone is free to kill them without fear of legal retaliation. However she might hold back as being captured by STIA would be a fate worse than death.