They may have no strategic goals in common with Iran, per se, but they both benefit from having more friends in the room, waving capes at the U.S. bull.
I agree. A good chance that Iran would do something simultaneously.
I dunno ... allies of convenience, and all that. There's definite advantage for both of them to act out their nuke ambitions in concert. Not only because it keeps the world's (i.e., our) attention divided, but also because I strongly suspect that they're collaborating on both the bombs and the delivery mechanisms.