I am not sure if I will be able to not care about my job. After all, my family’s well being depends on my ability to hold a job. I wish I could stop caring or at least to not care as much.
I used to work at startups and take my job very personally, this let to working crazy hours and not having boundaries between my personal and work life. I get the point about caring too much.
You mileage may vary. After burning through my savings, and feeling like I forgot how to code (it was so strange), I found a more stable, and somewhat less exciting job at a SaaS company, and scaled down the role to something more hands-on. This gave me the financial stability I was seeking but also allowed me to spend more time with the people I care about. I also tried to force myself to just do something less "productive" (e.g. play a video game, draw, go for a walk). I know that I was really lucky to be able to do that.
I hope you'll feel better soon.