Not sure exactly what you're getting at, but generally speaking I think the US Mafia has its own interests distinct from the Yakuza or other Asian crime groups such as the Triads or Korean gangs (Tongsun Park is Korean, but he gets around). They might use the Mafia to help with distribution in certain cases--for instance with narcotics exported from Asia to the US--and sometimes the Mafia is used as a supplier for gunrunning to Asian groups, but apart from such cooperation towards mutual benefit they're distinct groups running their own rackets.
This makes sense. I will post more later. I have to go finish getting dinner on the table.
ciao!