You are not your business unless you want for it to be that way. Can your business run without you being there? What if you want to take a vacation, are sick, or just plain aren’t feeling it for a spell? At that point, you haven’t signed up to run a business. You’ve signed up for a job.
I’m over halfway through Michael Gerber’s The E-Myth Revisited. It really is changing the way that I think about a lot of things that I do.
Sure, you must “be your business” at first (in a sense), but this shouldn’t be your end goal.