Matt - I admire your attitude. I would advise you to go for it. I do a lot of reversal processing to make original positives, then project them onto litho film to make enlarged negatives. Be warned, it may take awhile to get it right, so you should probably go for a process that uses premade off-the-shelf B&W chemicals and a couple chemicals you can get at
http://www.artcraftchemicals.com/.
The Kodak kit is quite expensive and you might as well practice and perfect the process the cheaper route. Once you really get into it, you will abandon the kit for cheaper (and better) results from your own process anyway, so why not get your hands dirty from the beginning? There are some fairly noxious chemicals involved so be careful if you have never worked around raw chemicals.
First step - Download and read the Ilford pdf on reversal processing:
http://www.ilfordphoto.com/Webfiles/20061291034093.pdf
Second step - Following the Ilford guide, buy the Ilford chemicals from your favorite vendor, buy the other photo chems (permanganate, etc.) from Artcraft, get the sulfuric acid (battery acid) from the auto parts store. Battery acid appears to be 33% acid so modify the instructions to get the right dilution.
Third step - Go through a bit of film and experiment with the process. There are also lots of discussions, formulas, debate, and other info on the web. Look around.
The custom processor Dr5 (dr5.com) does a well-regarded job developing B&W slides and sometimes chimes in with nuggets of information about what works well and what doesn't. Dr 5 does not divulge much information (for good reason - it's his livelihood), but it make for interesting reading.