You're aware that UCI requires that both wheels be the same size, and that USAC will be enforcing the rule this next year? You can probably get away with the bike at local weekly race series, but even there, I honestly haven't seen a single funny bike design at any of three tracks I race in the last year.
There are better ways to get aerodynamic efficiency, and aero bars are now designed around newer frame designs so you can get the position without playing with the front wheel size. Basically, you can make it up as a fun bike, but if you're going to be racing, you'll find some referee won't let you start the races you want to race. I'd suggest you use the parts on a standard track frame. You can go 650 both front and rear if you need to, but for good options in equipment and for versatility/interchangeability on the infield, I'd just suggest 700C. Perhaps not what you wanted to hear, but if you're racing, you are perhaps setting up a bike you won't be able to race or won't want once you see the limitations.