Thanks Turnbull as always I appreciate your extra tidbits

What was Moe Greene's gripe?
If “Fredo's banging cocktail waitresses two at a time actually saved Moe money” then what was Greene's complaint?

Why did Greene use "the players couldn't get a [free] drink at the tables." as an excuse to slap Fredo around in public?
Greene: I gotta business to run. I gotta kick asses sometimes to make it run right

My [mis?] understanding, Greene made out the casino was losing money because of Fredo's philandering not because of Greene's skimming off the top

Wikipedia – Bugsy Siegel
Quote
Extracts:
The day after Siegel's murder [David Berman and his Las Vegas mob associates, Sedway and Gus Greenbaum] Michael Corleone! walked into the Flamingo and took over operation of the hotel and casino

Siegel [has] a memorial plaque in the Bialystoker Synagogue and a memorial outside the wedding chapel at the Flamingo
No wonder Roth was livid that there isn't even a plaque or a signpost or a statue [memorial] of Moe Greene in that town! in Las Vegas, the city Greene invented

“Vito was “straightlaced about sex” and “would consider such cavorting by his son Freddie, two girls at a time, as degeneracy." Vito also knew Sonny had goumars
Vito was “displeased” but did nothing, yet Vito is the family man! Go Figure!!