I'm pretty sure there are some holes under those emblems. Though I could be wrong. Somebody more knowledgeable on cougars may be able to confirm or deny if you plan on removing the emblems and leaving them off.
They've been like that for years. Both my '86 and '88 had three studs with 8mm "quick nuts" holding them on.
Certain years, however, you can swap special edition or XR-7 emblems onto an otherwise normal car.