Well, those aren't F-14s on the bow. First, F-14's aren't ever parked up there. Second they show noticeable daylight between the wings and empenage. Something you never see on a parked F-14.
There is nothing to prevent a flyover if not at war. The Soviets did it all the time, as do we.
Aren't F-14's being phased out of carrier duty?
I can tell you after a rather scary experience in September fishing in the JAX area, one can be shot down if they are within 1,000 yards of any active duty ship.
We found out after our fishing guide took his boat and 3 of us within 100 yards of the JFK. Within minutes we were staring at a cocked and ready 50 caliber gun on the front of a Coastie boat.
That was when we found out about the current 1,000 yard limit.