The expression "do me" means something different than when I was a kid. Nowadays rappers use those words to express their need to keep it real and be themselves. When I was a kid, it was a line from a Bel Biv Devoe song. (nobody wears a Swatch watch anymore by the way)
Often I am solicited for career advice from people who are looking for an angle that might help them impress a perspective employer. "How should I act" or "What kind of demo should I put together" are questions I am often asked. My advice is always-DO YOU!
You ever go to the soda fountain, fill your cup underneath the coke icon, take a drink and suddenly your taste buds are confused when the flavor of something else comes rushing past your tongue? That same type of shock occurs when an employer hires the person they interviewed, only to experience buyers remorse when you turn out to be someone entirely different.
Employers are casting for a particular part. They have a vision of what they will be expecting from this person. Don't assume that once you see an opportunity to be yourself, they will suddenly change their plans and adapt to your wonderful personality and skills. Chances are you won't last at that job and you certainly won't be happy (or the Jets could always make a deal to pick you up after your last employer was not wanting to change the team to adapt to you).
Be you...unless you are a jerk...then learn to do something else (like not be a jerk)