CV for leaving academia after PhD
The current structure of your CV looks like an academic CV to me. You put too much emphasis on the academic credentials. You definitely need to rewrite it.

What the industry (not industry research) companies are looking for are your skills and experience. They are not interested in how many publications you have or how many conference talks you gave. They are interested in how much you know about solving problems so that you can help them to make money.

I would suggest you to emphasize your programming skills, the contents of your publications (what kind of problems you solved in those papers), the internships, etc.

Don't under-estimate your teaching experience. Emphasize it. Many hiring managers had told me that they like the teaching experience on my resume. I asked them why. They said I must know how to communicate because I can teach. Knowing how to communicate to others is an essential skill in industry.

Good Luck!