Should I mention that my dad was Head of US Equity Trading at a major BB during SA interviews at HF?

My dad started his career at an HF in the 90's that grew to become one of the big players.  He left after a decade or so to move to a BB where he eventually became head of their US Equity Trading division.  

My dad is my lifelong role model and I've also learned a ton about the markets from him.  Is mentioning this during my 'why HF' answer going to make me more likely to get hired?  Or will I just come off as extremely privileged and arrogant?

Thank you for any insight on this topic.