On 29 April 1945, when the P.1101 model was nearing completion, the US Army occupied the town of Oberammergau . The Messerschmitt complex was taken over by US forces and the barracks and associated facilities were subsequently used as a collection point for information and technicians in relation to German weapons systems. From 1953 the barracks served as a NATO training school. The story of the NATO school at Oberammergau is related at the following link
According to this site the prototype P.1101 and a ME-109 were found in Building 615 – now housing the Manfred Wörner Lecture Hall while other experimental airframes where found in the gymnasium, Building 607. Subsequently virtually the entire Messerschmitt underground production plant along with the P.1101 prototype were shipped to the Bell Aircraft works in Ohio. Although the prototype airframe was badly damaged in transit, this technology resulted in the swept-wing jet engined Bell X-5. Other countries utilised the technology that had been researched at Oberammergau; SAAB in Sweden produced the sucessful crescent-winged Saab 29 “Tunnan” jet fighter. Microfilmed plans of the P.1101 and P.1110 were purportedly hidden in the Ettal Monastery and seized by French personnel. The post war- French designed and built Fouga CM.170 Magister exploited the V-tail technologies developed by Messerschmitt and mimicked the early P.1101 designs. Post war-British transonic aircraft designs such as the Hunter fighter and Valiant and Victor bombers also utilized the crescent-wing technology developed in Oberammergau.
Additional sources for this blog post
More on late-war German jet production facilities on this blog;
Me 262 construction at the REIMAHG underground facility http://falkeeins.blogspot.co.uk/2010/02/me-262-in-reimahg-plant.html
Me 262 'forest-factory' production
He 162 production at Hinterbrühl