How about a fighter version of the Canberra, not just radar fitted etc. but more along the lines of the Hornet vs the Mosquito, or the Cobra verses the Huey?
Canberra wings and engines with a narrow diameter fuselage, tandem cockpit, radar, cannons, etc.
For the period, early-50s through 70s the wings and engines simply don't cut it as a proper day fighter. The wing shape and airfoil are not going to cut it for maneuverability and the engine power isn't there for good energy management in a dogfight. Engines out on the wing are also not at all good for roll rate, a key maneuverability metric. And, of course, as soon as you get into the mid-60s, the supersonic fighters take over and you're relegated to fighter-bomber like the Hunter and even the F-100 Super Sabre.
Now, you might be able to configure it as a bomber interceptor roughly equivalent to the CF-100, Javelin, Starfiire, etc. Especially if you could get the speed up to something over 620 mph as the Clunk and Javelin were known to be notoriously slow and hard to position for intercepts and would have had a real problem with Badgers in the shorter engagement times of Europe.
As interceptors they wouldn't have the speed to do stern chase intercepts with the early IR missiles, but would have to rely upon ahead angle intercepts with radar missiles, which were bigger and needed a good radar for the period. Unfortunately, radar guided missiles really wouldn't be available until the late 50s early 60s and even those early missiles required a stern chase attack vector.
Or, of course, you could be firing Genie's, but pitching nuke rockets at nuke bombers over the rather congested airspace of Europe has never been a politically viable option.
While an interesting conjecture, I don't think there is anything in it, practically. the various technologies don't quite line up to suggest a useful project.
Paul, the party pooper.