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The Ford Taurus SHO 3.4 liter V8 Shares NOTHING with the Jaguar 3.9liter V8 engine used in the last gen Thunderbird & Lincoln LS8 which were pretty much off the shelf Jaguar parts, while the Taurus-SHO V8 was a Cosworth Block and Yamaha heads.
And FWIW the LS8 engines are far more common both as running cars for sale and in the junkyards, because they were I believe produced in greater number.