This is a very interesting read. I have, on occasion, been similarly aware of my own subsystems. I didn't like it much; there was a strong impulse to reassert a single "self", and I wouldn't be able to function normally in that state. Moreover, some parts of my psyche belonged to several subsystems at once, which made it apparently impossible to avoid bias (at least for the side that wanted to avoid bias).

In case you're interested, the split took the form of a debate between my atheist leanings, my Christian upbringing, and my rationalist "judge". In decreasing order of how much they were controlled by emotion.