I think Chant of Rage is a lot less problematic, as it doesn't affect actions in progress. Puddnhead has a good point with Rules as Intended. Clearly the spell isn't intended to affect a creature at all after it has been activated. However, rules as written, this is how it would work:
Mandatory Actions are checked for each time you declare an action. So the latest you could transfuse Chant of Rage and have an effect would be before they've stated what they plan on doing. Once they say they're moving, attacking, guarding, or whatever, then Chant of Rage can not affect that action that is in progress at all. So, basically you'd want to transfuse it immediately after they activate, OR (if their first action is to move) immediately after they move and before they've declared another quick action. In the latter situation, you wouldn't affect their initial move, but you would affect their quick action, forcing them to abide by the chant.