Perhaps there is another incongruity in the II.

At the time that Michael is nearly murdered, the Corleones are still in charge in NY. Now, the film doesn't tell us if Roth had follow-up plans to take NY from the Corleones, but I don't recall any such action in the film by Roth (or the Rosatos).

However, Roth's plans to have Michael murdered in Cuba appears to be coordinated (as some Board members have opined) with his takeover in NY through the murder of Pentangeli, right?

Your analysis.