....Is he trying to bite him and/or choke him unconscious only for it to come off as a completely adorable piggyback ride? While Jason is just like "What even is this?"

This sums up everything. 

Except that sometime before or after that there would probably be an argument over which one of them get to be Worse Cop during 'Bad Cop Worse Cop' while some criminal either facepalms in confusion or just starts crying when he realizes there's no good cop at all.