Heck, you could also cut just 3 pieces instead of 5 and simplify a bit, but I'm still not sure you'll get the result you want doing it that way. I pieced a keyboard tray together like that out of oak with biscuits, but I could run the whole thing through a planer to get it true once it was glued up. I don't think you'd want to try that with MDF 
Hmm... Now, you have me thinking. No, not about redoing most of my cuts (ha) but about the biscuit thing. Since I have my new router (
see this thread) and table, I was wondering if I could just go buy a slot cutter bit and use it as a biscuit joiner?
MLCS Woodworking has a nice page on it.
From what I gather - and I have yet to hit up YouTube or other sites to check on this - I would assume the process should be as follows:
1.) Place the pieces of stock to be joined end-to-end at the joining point, and make a pencil mark on each where your slot cut is to be centered.
2.) Install the proper slot cutting bit, and set it's height appropriately.
3.) Set up your router table fence for the appropriate depth for your cut.
4.) Using a piece of scrap stock (that matches your good stock, of course!) test your cut. Adjust the bit and/or fence accordingly. Re-test until it's proper.
5.) With the mark on the stock centered in the bit, press the stock against the bit to make the cut. Do the same with the other piece to be joined.
6.) Apply glue in each slot, fit your biscuit, and attach your pieces.
7.) Clamp and let dry.
Now, the only thing I can think of is that centering the bit could be a bit tricky, seeing as the table fence is used for managing the depth while the stock travels parallel down its face. So, I was thinking that I might clamp a piece of stock perpendicular to the fence so that the centers of the biscuit cuts would match up a little better. I'm not certain how necessary this might be, as I haven't worked with biscuits before, so I ask this: is there not a bit of 'play' in the slots whereby the biscuit cuts don't need to be 100% on each side? (Of course, anything I can do to increase my success, I'll do. That's the reason why I'm here, asking the Experts.)
I'm planning on hitting up Home Depot and Princess Auto on my lunch today, so any input you might have would be appreciated!