I'm only twelve years younger than you, so I have no real business throwing in my two cents, but here goes:
My history professor last year was not a goth, per se, but definitely alternative. She never dressed like the stereotypical professor. But, her credentials said otherwise, as she was kick-ass as a teacher and probably gets more student turnouts than maybe even the math and science courses.
What I'm basically saying is how far to the extreme do you want to seperate the two. You can easily be conservative for your business and then be yourself on the weekends, or you can have a semblance of that gothdom about you (a ring or a bracelet perhaps?) but still retain the air of professionalism that I would imagine someone in your capacity would need.
That's just a young whippersnapper's view
I could be totally wrong too.