Chemical compatibility is frankly a subject of dread. And for good reason.
The ones you really want to watch out for are H & E, the heat producers and the explosives. Those can cause you more pain that you can imagine.
However – however, this is all academic in a certain way. There are close to fourteen million recognised chemicals on the market. That means that no one has a complete idea of the chemical hazards involved in mixing.
This doesn’t mean that separation is optional. Here’s a picture of what happens when you store bleach – in a bottle – next to iron tools. The fumes are enough to do this:
So perhaps the only approach is to separate what you can.