If you feel you must work extra hard to avoid getting laid off and this is what's causing your burnout, then maybe you have to accept the fact that you can't do anything about what might happen. "Preparing for a Layoff" tells you what to do when you think you may get laid off.
Last, but not least, you're in a career that you've discovered isn't for you. You hate doing what you do and that's causing you to experience burnout. If you can afford to quit your job then you should consider it. But you should be prepared to be out of work while you explore your options. You should not enter into a new career without careful planning or you'll wind up right back where you started. You must take the time for a complete self assessment which will help you find out what careers you should explore. Then you must investigate each career until you're reasonably sure you've found the one that's right for you. There may be training or some other preparation required before you can start looking for a job. This will take quite a bit of time. If you decide to continue at your current job, you can still begin the career planning process. You may even feel less stressed about your job as you begin to realize there are other options out there.