I would forget all about Sorcerer and multi- into Warlock. I suggested this build for a player who wanted to do a Ryu-style character, ie kick, punch, and throw hadoukens. Just say your power comes from your Inner Dragon instead of Demonic influence and you're gold. It also gives you access to the Use Magic Device skill which might actually be cool from a Monk perspective, ie using "magic relics" to duplicate spellcasting (the cartoon Xiaolin Showdown immediately comes to mind).
I had considered this, but in order to flavor my character becoming stronger and more dragon-like, it would require HEAVY houseruling. Generally I prefer the simply utility abilities a warlocks have (and the nature of ALWAYS having the ability handy), but I was coming to the conclusion that I'd end up simply diluting my character's melee ability without getting much oomph in return.
For a note to everyone: I am starting to consider taking a few more levels of monk, then taking a level of Sorcerer(getting the prerequisites for Abjurant Champion), taking abjurant champion to level 5, then moving into Enlightened fist. (I really would have liked to go more with a dragon theme, but I can reflavor things a bit to get a similar theme, and can use the Draconic Feats from Complete arcane, if my DM approves them).