Most ridiculous part of the movie. Why would the Senator use a bawdy house owned by his enemy and open himself to blackmail. There is no shortage of prostitutes in Las Vegas,NV(or Washington, DC). He could easily have gone somewhere else.
The man says don't talk to me deal with Turnbull then heads to Fredo's pleasure palace. I can't see it.
I don't see any inconsistency here.
I doubt that they advertised that Fredo operated (not owned) the brothel. Even if he saw Fredo around the place, it's not likely that he would have recognized him as Michael's brother. Remember, Fredo wasn't in the Tahoe meeting with him.
I think it's likely that Geary was already a customer before he and the Corleones crossed swords. He admits to a history with that particular prostitute.
Plus, he is so arrogant that he probably didn't think there would be any risk to going there, even if he knew the connection to the Corleones.
