An old scenario on EJMR:
I am in an academic position and its terrible, can I get out?, what about my prestige? My background is X, can I do Y?
I'm sure it will be fine. Chill out. Hey, I have been there. But, you have a PhD in a solid subject, most likely from a solid school (globally speaking). Even the dreaded theorist can figure some career out with some retooling.
Leaving academia feels like you are leaving a religion. When you are locked into that world, getting out seems impossible and ego shattering. You wrap every part of yourself in this suit, and (like a JMC) even if it doesn't fit you try to lie to yourself into thinking it does.
I left the ivory tower. I hated where I lived, what money I made, and ultimately with some outside perspective discovered I did't really even like what I researched (always felt like square peg-round hole). I hated fighting with reviewers over minutia that doesn't matter. I hated teaching students who just want their piece of paper. Applying to grant calls with topics that bordered on ludicrous. Always having to shoe horn my research into areas it was not useful. I felt like a liar.
Flash forward now: I like where I live, I make great money, I have great coworkers and gosh darnit I even like what I do! I and am genuinely happier.
Just apply. Do not be dismayed if you do not get tons and tons of industry interviews. It will take time. They may not really believe you want to leave, are too far away, are too advanced of an AP etc etc. You can not control that.
You can control your applications and you can control your preparation.
When I decided I couldn't handle it anymore and wanted to leave, I devoted every ounce of my life towards getting out and prepping for that new life. A large part of this prep will be learning (or re-learning to code), or pivoting other skills.
You need to take the search and pivot as serious as you took your previous academic research career. You need to be open to new areas of work, but at the same time try to find out what core things you wanted to keep in the pivot. For me the new job needed a modeling and simulation component. So I focused my search there. I am no longer directly in the field I did my PhD in, but I use the same skills and am developing new ones as well. Its been a wild ride. I am actually excited about my future.
At the end of the day you will get out and probably be happier. It may not be as "prestigious" but you will learn that was all a brass ring. Ever reaching, never obtaining.
Happy hunting. Keep your chin up, and be self aware.
-ExAcademicBro