In theory:
- Calm/USER2 seems to want to maintain Order.
- Callous/HOPE wants to Fix everything.
- Concerned/Pareidola wants to "sing" or just have fun.
That's probably why the others don't accept it. It's also cruel and seemed to be the one who crumbled Maya Prime.
HOPE wants Sensei to fuck the girls, but it seems to be more along the lines of it being for their own good. Hence Yasu talking about "saving" them all the time.
USER2 isn't entirely clear, but it seems protective and if Sensei fucking the girls protects them, or is how things are supposed to go, that's probably it's goal. Then again, it's seemed a little bloodthirsty lately through Tsuneyo, so it might also be preparing to Reset things, now that Pareidola got involved.
Pareidola seems to just want Sensei to rape and fuck girls for the most part. Maya Prime being someone who Sensei may stop fucking others for, is possibly the reason why it got rid of her. Also with her gone, it seems to lead to Sensei becoming "The Collector".