DT, as I posted above, I think that Michael was well onto Roth before Havana. But he couldn't do anything about Roth backing the Rosatos except to convince Frankie to go along with his plan. Both Michael and Roth realized that Frankie (and the Rosatos for that matter) thought in parochial terms, not global.
Wasn't Roth jumping the gun a little if he wanted to lure Michael to Havana? Maybe he figure the hit in Tahoe would work and gave the Rosatos a premature "go ahead"
