Two YP-80s were sent to the UK and two to Italy, but in no case were they intended for combat. They were sent so that service pilots could give some feedback on them. They did not fly anywhere near where they would encounter enemy aircraft and most certainly were never tasked with hunting any of them. I am also highly skeptical of the claims about a pre-war US jet design given that the Whittle design was sent over by the UK during the war.
The only Allied jet to see combat was the Gloster Meteor Mk I, against V1s, and Meteor Mk III, against V1s and ground attack on the continent.