You could simplify the problem down to a very basic moment arm. You'd probably get fairly close for a static calculation (I'd be sure to include a fairly significant factor of safety). Now once you add in the torque of the rear wheels, that's going to change things a bit, but as long as you're not drag racing, it shouldn't have a massive effect (especially considering the aforementioned factor of safety).
What I'm curious about, is you say the bed is 9' long, but you've got a 14' car. To me, that seems like you're cutting it awful close for the wheelbase of the car to be contained on the bed, especially when you take into account the car's front overhang. Are you going to build a wooden platform back there or something to contain the entire wheelbase?
Personally, I think as long as your piggy-back car is lightweight, it will probably be alright. The way it looks to me right now, the bulk of the weight will be centered right over the rear axle. Which seems to me no more dangerous than carrying a heavy load in the bed of a pick-up that's centered over the rear axle. If you can get the basic F/R weights of the truck and car (along with the wheelbases, and where the front wheel of the car will sit), I can do the static calculation for you. That will, at the very least, give you a quasi-informed idea of the weight distributions, and how much is riding on the rear axle (and thus the tendency for it to wheelie/have light steering). If you can lengthen the wheelbase of the truck, that of course, would be the preferred route.
Please note: Everything in the above post is wild speculation. It's all at your own risk, but I'll help with the calculations if you'd like. I am in no way informed, coherent or qualified to make any judgments of "safety".