They had a mention of Richard meeting with families I think but nothing really came of the Sinatra/Wheatley standing in terms of La Cosa Nostra. Taking your wife's name to piss off your Dad is more of a rich kid 'that'll show you!' than tough mob boss move. They really need to brush up on how things work. Though, I could buy Richard putting thought into wanting essentially a generic stage name to sell his image of a legit pharmacy guy, more than I could buy it was a f-u to Daddy.
Considering Rollins still has a job, I think it's possible Wolf and Co will let Washburn stay on.