Is this something that is actually thought to be possible in the near future? It sounds like in this case they needed a living female to do the clone. How would that work in the case of a Woolly Mammoth? Are elephants a close enough relative?
This would be pretty different from the ferret project, as the mammoth DNA available isn't in good shape. It would require genetic engineering as well as cloning, and mostly consist of introducing mammoth DNA into Asian elephants a few genes at a time.
Thylacine is pretty special as far as I know, with it being marsupial (though perhaps it is easier that way because a significant part of the development is outside the mother?)