Those are the wrong tuners for a '67/'68 EB-2. They should look like this -
As you can see, there should be 2 screw holes for the truss rod cover.
The EB-2 is a set-neck instrument. To swap necks on an instrument like that is very complicated and expensive. Such a thing is done rarely. What makes you think the body and neck are not matched? I assume the serial number and the tag inside the body don't match? Post more photos. Especially of the neck joint.