Most applicants for an assistant professor position will have a PhD and some postdoc experience, and (hopefully) a solid line of publications in their main research line.
It is unfortunately not universally agreed what constitutes a "successful" career. So, if you are several years past your PhD, as a search committee member I would want to see what you had done in the intervening time, and I would want to know it was relevant to what you want to do now. You need to be able to reassure the committee that you are still an active researcher, you are still respected by other academics, and that you are (or could become) a competent teacher. The problem with CVs is that just listing a job title does not quite convey what is entailed there. How would I know how to evaluate your "extraordinary education program" just from a few lines on the CV? (I'm certainly not going to look at it, I have 100 other applications to read through.) Are you up-to-date enough for university teaching?
The real place to make your case for this is in your research statement or cover letter. That is where you can explain your unusual background, presenting it as a strength that makes you stand out above other candidates. You can describe your industry experience, framing it in terms of how this has aided your development as a teacher-scholar, and you can describe the principles and outcomes of the educational programs you were involved in.
An additional strategy would be to ask one or more of your referees to discuss your background in their letter. It could be beneficial to the search committee to have an outside opinion, from a real academic, that someone who may look unusual is actually really good.
So, is there anything you can do for your CV itself? Well, make sure the list of publications is solid. That's among the best evidence for a search committee that you're an active researcher.