I understand exactly where you are coming from but I just want to warn you. This sounds very familiar to me and could lead to a classic burnout. I am saying this out of care and not to judge you but, you may be too invested in something that you don't have a big enough stake in. And also, if bringing order to the chaos is not an overarching goal of to business, your work is even misaligned. Ask yourself this: could I reduce my work hours significantly or take a sabbatical? If daily business would continue as usual, it would be an indication that the extra work and ordering you do is not visible anyway. If this is only to keep your own sanity, don't you think it would be much nicer to put that effort behind something you made and control?

I was in your shoes. Stepped into management because the alternative was being managed by someone I knew couldn’t handle it, and I was given the choice. It didn’t take long for me to wind up doing three jobs, two of them management.

I switched companies for one with more professional management. Flat org structure just means “squeeze all the juice out of your experienced engineers until they quit.”

So it's like a hero syndrome? You want to be the saviour?

You're choosing to dwell in that chaos. You've always the option of looking in the mirror, asking hard questions on your motives, and then moving on to somewhere peaceful.