Is the 4r70w transmission in mustang cobra gt same as Lincoln mark viii?

No, while both the Ford Mustang Cobra (depending on the year) and the Lincoln Mark VIII used 4R70W transmissions, they weren't necessarily identical. There were variations in calibration and possibly some internal components depending on the application and year. A direct swap might require some adjustments or modifications to work correctly. They're similar enough to share many parts, but not interchangeable without potential issues.