Sure thing Moe Greene tried to “make a deal with him [Barzini] and still keep my [Greene's!] hotel” only when the Corleones came to collect on their IOU for bankrolling the Hotel

It doesn't seem to me Barzini and Greene had a “relationship” prior

Why did “Do you know who I am? I'm Moe Greene!”
  • Still have to align himself with Barzini – the incoming Top Don!
  • If Greene's mentor “Roth was a bigtime player in that world” why didn't Roth and Greene partner up not dissimilar to Roth's Klingman hotel arrangement
  • Roth could have arranged the registered owners, then Roth and Greene themselves, the real owners