"act more like an entrepreneur at your current job. Be a maverick. Put in longer hours, give yourself a crash course on your company’s operations and strategic goals and, most important, locate a problem outside your realm of expertise and solve it."

I think this is more reflective of someone looking for growth, than an entrepreneur, and I say that to say this: standing out from the crowd and working like you're worth they money they're paying you will most certainly bring you the kind of attention outstanding entrepreneurs get and you may just get a promotion out of it

However showing the spirit of someone who is supposed to start things should mirror actions that look like you're wanting to start something. Make suggestions, present solutions like the second half of the quote says to, but in addition to this build momentum behind your ideas and show why they matter and how they'll make improvements.