I know Binion had connections to Tommy Lucchese and Jack Dragna...

I believe Binion paid money into the 60s to the LA Family

Also Binion had relationships with guys in Chicago like Accardo,Alex,Giancana,Fishettis and Caifano..

Dallas family was pretty inconsequential, the height of the family was the 30s and 40s I think even before Civello was boss....
I know Civello had close ties to the Dallas Cowboys in the 1950s and would just stroll into the owners office whenever he wanted....