That's an F-4F early which is a lighter more manoeuvrable F-4E that also has agile eagle. You also appear to be fully loaded including your centerline rack whilst from what I can see he does not except for missile stores. Given the engagement, there are so many speed, energy, crew factors here that just are not shown in this clip.
It's really hard to tell from this clip alone, but I don't see the issue here and if there was one, I'm not sure why you are asking me rather than reporting it if you have substantial evidence something is wrong.