I wouldn't recommend it, because Dads split personality might get laughed at.
Why wouldn't we want to laugh at Able and Adam? Abram would be too depressed to care and is too hurt for me to want to, but the other two absolutely are fair game in my eyes.
For Homura: we'll fist have to see how it goes and when we're going back to, my guess is that she's sending us back to somewhere during the fight, before we got hurt and when NT was still in phase 1, but it's not impossible that she is turning us back and not the world too.