SteveG1’s got it.
The F-14 radar can easily track a Zero. An AIM-7 Sparrow missile will shred the Zero when it detonates. The Zero pilot probably won’t see it coming, and even if he does he’ll probably not realize it’s dangerous until it’s waay too late. He’ll never even see the F-14 some 10-20 miles away.
AIM-9 Sidewinder heat seakers are a different matter. I flew F-16s and have a good amount of experience with this particular weapon. The older AIM-9/P model commonly carried in the 70s and early 80s wouldn’t track a recip airplane. The heat source is too weak and too diffuse. Even at min range you’d barely be able to get a tone and like as not it’d break lock during launch and “go stupid” as we said.
The old “cigarette at 10 paces” demo isn’t informative; that represents a very hot point source against a uniform cool background. The Zero’s thermal sig presents a much smaller angular area with fuzzy boundaries.
The later model AIM-9/L & /M (yes, the chronology is out of alphabetical order) would track a recip under good conditions. The F-14 could just drive in to 2 or 3 miles astern and a little below (to ensure a cool blue sky background) and hose one off with about 75% chance of a kill (P[sub]k[/sub]). The Zero pilot could certainly see the F-14 at that range, but since the F-14 could come blasting in an 400+ knots closure (V[sub]c[/sub]), he’d go from invisible to in-range very quickly. As well, at 400+ knots V[sub]c[/sub], the range expands to well beyond 3 miles, so the F-14 would be even harder to see. Absent any radar warning, the Zero’d never know he’s being stalked and the F-14 could use his radar to keep the Zero “in sight” the whole time.
Believe it or not, a dogfight would be problematic. The modern analog is fighting attack helos, trying to kill Apaches or Hinds or Havocs with fast-moving fighters. It isn’t easy.
At the Zero’s comfortable combat speeds, a jet is wallowing like a dog. The F-14 had better low-speed handling that its predecessors, but still, below about 200 it’s a mess. If the F-14 gets off a well-aimed (or lucky) burst with his cannon, the Zero is toothpicks. But if the Zero sees the F-14 coming, he can prevent the tracking shot indefinitely by out-turning the F-14.
A side effect of the Zero’s better turning radius is that every time the F-14 moves in, he’ll end up out in front of the Zero. Not directly in front, but in the foward hemisphere. At which point the F-14’s got to zoom out of the Zero’s gun range before the Zero turn to bear on the F-14. That implies having a lot of V[sub]c[/sub], which makes the overshoot problem worse. You want to go slow to get the shot, but fast to escape the inevitable overshoot after the pass.
At middle altitudes, say 15,000 to 25,000, the F-14 can just zoom about at speed trying to get an unobserved strafe run on the non-manuevering Zero after the Zero loses sight of the F-14. The fact the F-14 can come at the Zero straight down, straight up, head on or from any other quuadrant is not something the Zero pilot will have experience with. And no single pilot can adequately scan the full sphere around him to detect all incoming hostiles. Given enough passes, one will slip in unobserved.
If the Zero makes for the deck, then the F-14’s also got the other big problem with killing attack helos; they love to hide in the valleys and will try to scrape the fast-mover off on a convenient ridgeline. They can get a LOT closer to the terrain than you can and still survive. The rocks are the Zero’s best defensive weapon.
But whether a real Zero pilot would figure this out quick enough to make a difference is an open question.