I've successfully hired one person doing this transition, but that was to be a technical product manager. For everything else, I would skip your resume. If you want me to be interested, you need to be a PM for a year plus somewhere else.
My rationale:
1. as expensive and painful as eng hires are to get wrong, they have nothing on PM hires.
2. I have no idea if you actually like the work, and neither do you. It is very different from eng work.
3. I have no idea if you are capable of talking to customers and prospects. Capable can span a lot of things, but includes doesn't freeze up, can think on their feet, and doesn't say really dumb shit to customers (I have eng that got exposure to prospects and managed to talk the prospect out of buying by the way they presented info).
4. Frankly, PM roles often pay less, particularly as compared to senior eng. That fact does not work in your favor, because I'm basically guesstimating if you're worth 3-6 months of my time to spin up on a product.
Finally, your other issue may be that companies simply hire a lot more eng -- 6-10x or more.
As has been repeatedly mentioned in this thread, your best bet (imo) is to transition at your current employer.
ps -- nothing written in your post demonstrates much effort on your part. That's another huge turnoff were I to ponder investing my time into you.