Back in the day Bears attempted flyovers regularly.
We recovered a few banged-up F-14s that "challenged" said Bears. Likewise a few Bears ditched at sea after sustaining in-flight damage.
They never flew over a carrier on my watch. They flew over escort ships, in one or two cases "dusting the rigging" - but never the bird farm. There were a few cases of damn near combat, but no weapons were discharged. Bear crews were fond of shining spotlights into the eyes of Navy aircrews.
This is the Pub. Leave common sense at the door.