You have to create a professional persona. That persona is a full-fledged adult who demonstrates a tightly organized research program, a calm confidence in a research contribution to a field or discipline, a clear and specific trajectory of publications, innovative but concise, non-emotional ideas about teaching at all levels of the curriculum, a non-defensive openness to the exchange of ideas, and most importantly, a steely-eyed grasp of the real (as opposed to fantasy) needs of actual hiring departments, which revolve ultimately, in the current market, around money.
The process leading up to your first faculty job is almost guaranteed to be a nerve-racking ordeal. Many applicants don't know how to make a good first impression. It is common--and reasonable--to question whether you have the right set of skills and credentials for a particular faculty job. Whether at a large research-intensive university on the West Coast or a small teaching college in New England, the recruitment process is much the same all across the country.
Take pity on me and my colleagues. As a faculty member who serves on faculty search committees and a frequent reader of job applications, I dread reading teaching statements. I have even considered asking search committees to stop asking for these essays (in which applicants discuss their teaching philosophies and their anticipated approaches to teaching) because they are so often insipid and painful to read. I've never actually made that suggestion, though, and for now, at my institution (and many others), teaching statements remain a required part of an application for a faculty position. So for every permanent-faculty search I'm involved in, I end up reading as many as several hundred insipid teaching statements. Have mercy.