I doubt if they have the resources to dig it out. They'd have to negotiate with the government for a permit, and since these are (apparently) not uncommon fossils, nobody would be in a hurry to document them or excavate them.

You'd have to remove a lot of rock to get it out (okay... say a 3 meter square area, and at least two feet deep) because you will have to make a trench around the area and then jacket it with plaster and get underneath the surface to lift the specimen out. The fossil itself won't be that hard to prep, but you need the right tools and you really can't do that while sitting in the sun at Giza.

Then there's the question of "what do we replace it with?"

-- Byrd
Moderator, Hall of Ma'at