Let's get something big out of the way. Interviewing sucks. Interviewing after spending enough time in academia to get a PhD sucks even worse. I would equate it to devoting your entire adult life to learning how to think, then approaching graduation, needing a job and suddenly needing to learn how to think all over again. That's frustrating and you're pissed off for good reason.
An interview process is always hard, but I think you're in the midst of an exceptionally hard process. How are you caring for yourself? What do you do to relax?
My best advice, based on many frustrating interview processes is that when you're going through hell, keep going. That's been attributed to Winston Churchill, but I don't have time to research whether that attribution was correct.
If you keep going, you will get something. You're very, very smart. You can do this. You will do this.
Best of luck and if you need to vent, my email address is on my profile.