During your transition, it is better to not have the correct key caps. This will force you to learn the layout by feel. After you have mastered (or become proficient at) the layout, reorganized key caps are more convenient. So, I would say try it for a month or two before you try to switch your physical keyboard.

I think this is a fair point. As long as you know your keys are incorrectly labeled, they are essentially blank since you know not to look at them. Plus, you get a good chuckle anytime someone else uses your computer.

The funny thing is that I don't know touch-typing at all, but I will change to ninja-style keycaps anyways, because I won't be able to cheat and I'll learn more effectively. Thanks for all your help!

When my shoulder and neck was buggered, I learned touch typing on my back!  Which did mean my fingering style was a bit out there for a while.

You don't really register yourself peeking down at the keyboard.  You could practice in the dark, or with a make shift screen over your hands.  It could be lightweight fabric.

The only downside about not seeing your hands or the keyboard, is that you might not notice poor hand/fingering style.  Due to the weird staggered layout of the standard keyboard, I have a bit of a kink on my left wrist, that I have to work a little harder to iron out.  It's something I gained from bad habits early on.  I glued my fingers to the homerow, and turned my wrist rather than floating my fingers.

You can also film your typing style.  It can highlight awkward movements.