The engine, along with all the spare parts are now owned by The World of Speed Museum in Wilsonville, Oregon. The engine is on display in the "dragster/lakester" body along with several other of Mickey's cars. When I was last there they also had the 4 engine streamliner which was on loan from the Thompson family.
If You are in the Northwest You need to check out the Museum. It is located right on I-5 just south of Portland and has a ton (literally) of great cars from Nascar to Indy to Drag Racing to famous motorcycles to hot rods of the forties and fifties on up.
Lot's of Landspeed cars and bikes and they rotate the display vehicles with other famous museums and private collectors so even if You have already been there, its worth going again and again.
One Run, out