According to an article in a 1975 issue of Airfix Magazine, it belonged to 62nd Fighter Squadron, about which Wikipedia says:
So the markings are post-war. I suppose that explains the lack of squadron and aircraft letters?
The squadron was reactivated on 1 May 1946 as a Strategic Air Command (SAC) escort fighter group, being assigned to Fifteenth Air Force at Selfridge Field, Michigan, equipped with long-range North American P-51H Mustangs that had been developed for Twentieth Air Force bomber escort missions in the Pacific Theater. The mission of the squadron was to provide fighter escort of SAC's Boeing B-29 Superfortress bombers on intercontinental strategic bombardment missions, deploying to Alaska and Europe in this role.
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