Analyse this game of KOTH I played

https://www.chess.com/live/game/4139386262

In this game of KOTH I had black pieces, and my opponent brought out his/her king too early.  Were the moves I made before having the forced win correct against my opponents bongcloud opening?

I have observed that forums get more comments if the games are in an easy-to-read pgn diagram; I'll help you out

True, your opponent was definitely bringing their King out far too early. One thing I like about KOTH is that you see many different strategies including many players like your opponent (obsessed with the hope that the King can safely reach the center for an instant win). 

As you may suspect, this isn't going to be that successful at all against any decent KOTH player; simply put, piece development will control those central squares and an eager King will never be able to enter center stage  

To answer your original question: I think you played Black fine here, but I don't think the play is forcing a win: it is just the case that your opponent wasn't playing the best moves themselves. Just like in standard chess, opening piece development is important.

Bad news